{"id":608132,"date":"2023-06-19T18:47:01","date_gmt":"2023-06-19T13:17:01","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=608132"},"modified":"2025-07-25T18:49:28","modified_gmt":"2025-07-25T13:19:28","slug":"perimeter-of-a-parallelogram-formula","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/formulas\/perimeter-of-a-parallelogram-formula\/","title":{"rendered":"Perimeter of a Parallelogram Formula\u00a0"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/perimeter-of-a-parallelogram-formula\/#Parallelogram_Formula\" title=\"Parallelogram Formula \">Parallelogram Formula <\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/perimeter-of-a-parallelogram-formula\/#Solved_Examples_on_Perimeter_of_a_Parallelogram_Formula\" title=\"Solved Examples on Perimeter of a Parallelogram Formula: \">Solved Examples on Perimeter of a Parallelogram Formula: <\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/perimeter-of-a-parallelogram-formula\/#Frequently_Asked_Questions_on_Perimeter_of_a_Parallelogram\" title=\"Frequently Asked Questions on Perimeter of a Parallelogram: \">Frequently Asked Questions on Perimeter of a Parallelogram: <\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/perimeter-of-a-parallelogram-formula\/#What_is_the_rule_for_the_perimeter_of_a_parallelogram\" title=\"What is the rule for the perimeter of a parallelogram?\">What is the rule for the perimeter of a parallelogram?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/perimeter-of-a-parallelogram-formula\/#What_is_the_relationship_between_the_area_and_perimeter_of_a_parallelogram\" title=\"What is the relationship between the area and perimeter of a parallelogram?\">What is the relationship between the area and perimeter of a parallelogram?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/perimeter-of-a-parallelogram-formula\/#How_do_you_find_the_missing_perimeter_of_a_parallelogram\" title=\"How do you find the missing perimeter of a parallelogram?\">How do you find the missing perimeter of a parallelogram?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/perimeter-of-a-parallelogram-formula\/#Do_all_parallelograms_with_the_same_perimeter_have_the_same_area\" title=\"Do all parallelograms with the same perimeter have the same area?\">Do all parallelograms with the same perimeter have the same area?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/perimeter-of-a-parallelogram-formula\/#What_is_the_relationship_between_perimeter_and_width\" title=\"What is the relationship between perimeter and width?\">What is the relationship between perimeter and width?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/perimeter-of-a-parallelogram-formula\/#How_to_Find_the_Perimeter_of_a_Parallelogram_with_Missing_Side\" title=\"How to Find the Perimeter of a Parallelogram with Missing Side?\">How to Find the Perimeter of a Parallelogram with Missing Side?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/perimeter-of-a-parallelogram-formula\/#How_to_Find_the_Perimeter_of_Parallelogram\" title=\"How to Find the Perimeter of Parallelogram?\">How to Find the Perimeter of Parallelogram?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/perimeter-of-a-parallelogram-formula\/#What_is_the_perimeter_of_parallelogram_using_base_and_height\" title=\"What is the perimeter of parallelogram using base and height?\">What is the perimeter of parallelogram using base and height?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<p style=\"text-align: justify;\"><b><span data-contrast=\"none\">Introduction<\/span><\/b><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559685&quot;:0,&quot;335559737&quot;:0,&quot;335559738&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p style=\"text-align: justify;\"><span data-contrast=\"none\">The perimeter of a parallelogram is the length of the continuous line formed by its boundary. Its unit is the same as that of its sides. A quadrilateral is a closed shape made up of four line segments. A quadrilateral is called a parallelogram if its opposite sides are parallel and are of equal length. Some examples of a parallelogram are rhombus, rectangle, and square. Here are some properties of a parallelogram. In simple words, we can say that the perimeter of a parallelogram is equal to the sum of all its four sides.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559685&quot;:0,&quot;335559737&quot;:0,&quot;335559738&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p style=\"text-align: justify;\"><span data-contrast=\"none\">Opposite sides are equal.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559685&quot;:0,&quot;335559737&quot;:0,&quot;335559738&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p style=\"text-align: justify;\"><span data-contrast=\"none\">Opposite angles are equal.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559685&quot;:0,&quot;335559737&quot;:0,&quot;335559738&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p style=\"text-align: justify;\"><span data-contrast=\"none\">Diagonals bisect each other.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559685&quot;:0,&quot;335559737&quot;:0,&quot;335559738&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p style=\"text-align: justify;\"><span data-contrast=\"none\">Every two adjacent angles are supplementary.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559685&quot;:0,&quot;335559737&quot;:0,&quot;335559738&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p style=\"text-align: justify;\"><span data-contrast=\"none\">In this article, we will learn how to find the perimeter of a parallelogram using some formulas. We shall also understand the applications of the perimeter of parallelogram formulas. We will explore the concept with the help of a few solved examples for a better understanding of the concept.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559685&quot;:0,&quot;335559737&quot;:0,&quot;335559738&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<h2 style=\"text-align: justify;\"><b><span data-contrast=\"none\">Parallelogram Formula<\/span><\/b><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559685&quot;:0,&quot;335559737&quot;:0,&quot;335559738&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/h2>\n<p style=\"text-align: justify;\"><span data-contrast=\"none\">A parallelogram is a quadrilateral which has its opposite sides parallel and equal in length. The <\/span><span data-contrast=\"none\">perimeter of the parallelogram is twice the sum of one pair of its adjacent sides.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p style=\"text-align: justify;\"><span data-contrast=\"none\">Consider a parallelogram whose adjacent sides are of length \u2018a\u2019 and \u2018b\u2019.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p style=\"text-align: justify;\"><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"><img loading=\"lazy\" class=\"size-full wp-image-608148 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/06\/Screenshot-2023-06-19-184615.png\" alt=\"\" width=\"237\" height=\"157\" \/> <\/span><\/p>\n<p style=\"text-align: justify;\"><span data-contrast=\"none\">Thus, the perimeter of the parallelogram = a + b + a + b<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p style=\"text-align: justify;\"><span data-contrast=\"none\">= 2a + 2b<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p style=\"text-align: justify;\"><span data-contrast=\"none\">= 2(a + b)<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p style=\"text-align: justify;\"><span data-contrast=\"none\">For example,<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p style=\"text-align: justify;\"><span data-contrast=\"none\">If the adjacent sides of a parallelogram are 9 cm and 5 cm, then its perimeter is given by,<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p style=\"text-align: justify;\"><span data-contrast=\"none\">Perimeter of the parallelogram = 2(a + b)<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p style=\"text-align: justify;\"><span data-contrast=\"none\">= 2(9 + 5) = 2(14)<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p style=\"text-align: justify;\"><span data-contrast=\"none\">= 28 cm.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p style=\"text-align: justify;\"><span data-contrast=\"none\">So, the perimeter of the parallelogram is 28 cm.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p style=\"text-align: justify;\"><span data-contrast=\"none\">Alternatively, we can also use the formula:<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p style=\"text-align: justify;\"><span data-contrast=\"none\">Perimeter = 2(l + w)<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p style=\"text-align: justify;\"><span data-contrast=\"none\">In this formula, &#8216;l&#8217; represents the length of the parallelogram, and &#8216;w&#8217; represents its width.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p style=\"text-align: justify;\"><span data-contrast=\"none\">It&#8217;s important to note that the perimeter of a parallelogram is always expressed in the same unit as the lengths of the sides.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p style=\"text-align: justify;\"><span data-contrast=\"none\">The perimeter formula allows us to quickly determine the total length of the sides of a parallelogram, which is useful in various applications, such as calculating fencing requirements, estimating material quantities, or determining the distance around a given shape.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p style=\"text-align: justify;\"><strong>Also read: <span style=\"color: #0000ff;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/parallelogram-formula\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cParallelogram Formula \u201d (Edit)\">Parallelogram Formula<\/a><\/span><\/strong><\/p>\n<h3 style=\"text-align: justify;\"><b><span data-contrast=\"none\">Solved Examples on Perimeter of a Parallelogram Formula:<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/h3>\n<p style=\"text-align: justify;\"><b><span data-contrast=\"none\">Example 1:<\/span><\/b><span data-contrast=\"none\"> A parallelogram has two adjacent sides measuring 6 cm and 8 cm. Find the perimeter of the parallelogram.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p style=\"text-align: justify;\"><span data-contrast=\"none\">Solution:<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p style=\"text-align: justify;\"><span data-contrast=\"none\">Using the formula for the perimeter of a parallelogram, P = 2a + 2b, where &#8216;a&#8217; and &#8216;b&#8217; are the lengths of the adjacent sides:<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p style=\"text-align: justify;\"><span data-contrast=\"none\">P = 2(6 cm) + 2(8 cm)<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p style=\"text-align: justify;\"><span data-contrast=\"none\">P = 12 cm + 16 cm<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p style=\"text-align: justify;\"><span data-contrast=\"none\">P = 28 cm<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p style=\"text-align: justify;\"><span data-contrast=\"none\">Therefore, the perimeter of the parallelogram is 28 cm.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p style=\"text-align: justify;\"><b><span data-contrast=\"none\">Example 2: <\/span><\/b><span data-contrast=\"none\">The length of one side of a parallelogram is 10 meters, and the width is 6 meters. Determine the perimeter of the parallelogram.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p style=\"text-align: justify;\"><span data-contrast=\"none\">Solution:<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p style=\"text-align: justify;\"><span data-contrast=\"none\">Using the formula P = 2(l + w), where &#8216;l&#8217; is the length and &#8216;w&#8217; is the width of the parallelogram:<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p style=\"text-align: justify;\"><span data-contrast=\"none\">P = 2(10 meters + 6 meters)<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p style=\"text-align: justify;\"><span data-contrast=\"none\">P = 2(16 meters)<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p style=\"text-align: justify;\"><span data-contrast=\"none\">P = 32 meters<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p style=\"text-align: justify;\"><span data-contrast=\"none\">Hence, the perimeter of the parallelogram is 32 meters.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<h2 style=\"text-align: justify;\"><b><span data-contrast=\"none\">Frequently Asked Questions on Perimeter of a Parallelogram:<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/h2>\n<p style=\"text-align: justify;\">\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"What_is_the_rule_for_the_perimeter_of_a_parallelogram\"><\/span>What is the rule for the perimeter of a parallelogram?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThe rule for calculating the perimeter of a parallelogram is to add the lengths of all four sides. Since opposite sides of a parallelogram are equal in length, the formula for the perimeter simplifies to P = 2a + 2b, where a and b represent the lengths of two adjacent sides. Alternatively, we can use the formula P = 2(l + w), where l is the length and w is the width of the parallelogram. By adding the lengths of the sides, we can determine the total distance around the parallelogram, which gives us its perimeter. \t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"What_is_the_relationship_between_the_area_and_perimeter_of_a_parallelogram\"><\/span>What is the relationship between the area and perimeter of a parallelogram?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThe area and perimeter of a parallelogram are two distinct measurements. There is no direct mathematical relationship between them. The area represents the enclosed space within the parallelogram and is given by base x height, while the perimeter represents the total length of its boundary and is given by 2(Length + Width). \t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"How_do_you_find_the_missing_perimeter_of_a_parallelogram\"><\/span>How do you find the missing perimeter of a parallelogram?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tTo find the missing perimeter of a parallelogram, you need to know the lengths of at least three of its sides. Here's how you can calculate the missing perimeter:  Determine the lengths of the known sides of the parallelogram.  Add the lengths of the known sides together to find the sum.  Subtract the sum of the known sides from the total perimeter of the parallelogram to find the missing side.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"Do_all_parallelograms_with_the_same_perimeter_have_the_same_area\"><\/span>Do all parallelograms with the same perimeter have the same area?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tNo, not all parallelograms with the same perimeter have the same area. The area of a parallelogram depends not only on its perimeter but also on the dimensions of its sides and the angle between those sides. Parallelograms with different side lengths and angles can have the same perimeter but different areas.  For example, consider two parallelograms with the same perimeter: one could have longer sides and acute angles, while the other could have shorter sides and obtuse angles. Despite having the same perimeter, the first parallelogram will generally have a larger area than the second parallelogram. \t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"What_is_the_relationship_between_perimeter_and_width\"><\/span>What is the relationship between perimeter and width?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThe relationship between the perimeter and width of a parallelogram is not fixed. Generally, increasing the width tends to increase the perimeter, while decreasing the width tends to decrease the perimeter. However, the specific relationship depends on the other dimensions and properties of the parallelogram. \t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"How_to_Find_the_Perimeter_of_a_Parallelogram_with_Missing_Side\"><\/span>How to Find the Perimeter of a Parallelogram with Missing Side?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tWe cannot find the perimeter of a parallelogram just using one side, but if we know the height and angle of the parallelogram as well, then we can find it. The perimeter of a parallelogram whose base is a, height is h, and one of the vertex angles is \u03b8 is 2a + 2h \/ sin \u03b8.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"How_to_Find_the_Perimeter_of_Parallelogram\"><\/span>How to Find the Perimeter of Parallelogram?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThe perimeter of a parallelogram is obtained just by adding all its sides. Since the opposite sides of a parallelogram are equal, it is sufficient to know its two adjacent sides to find the perimeter. But we may not be given with two adjacent sides always, instead, we may be provided with some other information about it to find its perimeter.   If adjacent sides of a parallelogram a and b are given then apply the formula 2a + 2b to find its perimeter.  If one of the sides of a parallelogram is a and its diagonals are x and y then apply the formula 2a + \u221a(2x2 + 2y2 - 4a2) to find its perimeter.  If the base of a parallelogram is a, its height is h, and one of its vertex angles is \u03b8 then apply the formula 2a + 2h \/ sin \u03b8 to find its perimeter.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"What_is_the_perimeter_of_parallelogram_using_base_and_height\"><\/span>What is the perimeter of parallelogram using base and height?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThe formula for the perimeter of a parallelogram when base and height are given along with an interior angle is:  P = 2 (b +h\/cos \u03b8)  where b = base, h = height of parallelogram with respect to base, \u03b8 is the interior angle.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\n<script type=\"application\/ld+json\">\n\t{\n\t\t\"@context\": \"https:\/\/schema.org\",\n\t\t\"@type\": \"FAQPage\",\n\t\t\"mainEntity\": [\n\t\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What is the rule for the perimeter of a parallelogram?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The rule for calculating the perimeter of a parallelogram is to add the lengths of all four sides. Since opposite sides of a parallelogram are equal in length, the formula for the perimeter simplifies to P = 2a + 2b, where a and b represent the lengths of two adjacent sides. Alternatively, we can use the formula P = 2(l + w), where l is the length and w is the width of the parallelogram. By adding the lengths of the sides, we can determine the total distance around the parallelogram, which gives us its perimeter.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What is the relationship between the area and perimeter of a parallelogram?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The area and perimeter of a parallelogram are two distinct measurements. There is no direct mathematical relationship between them. The area represents the enclosed space within the parallelogram and is given by base x height, while the perimeter represents the total length of its boundary and is given by 2(Length + Width).\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"How do you find the missing perimeter of a parallelogram?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"To find the missing perimeter of a parallelogram, you need to know the lengths of at least three of its sides. Here's how you can calculate the missing perimeter:  Determine the lengths of the known sides of the parallelogram.  Add the lengths of the known sides together to find the sum.  Subtract the sum of the known sides from the total perimeter of the parallelogram to find the missing side.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"Do all parallelograms with the same perimeter have the same area?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"No, not all parallelograms with the same perimeter have the same area. The area of a parallelogram depends not only on its perimeter but also on the dimensions of its sides and the angle between those sides. Parallelograms with different side lengths and angles can have the same perimeter but different areas.  For example, consider two parallelograms with the same perimeter: one could have longer sides and acute angles, while the other could have shorter sides and obtuse angles. Despite having the same perimeter, the first parallelogram will generally have a larger area than the second parallelogram.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What is the relationship between perimeter and width?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The relationship between the perimeter and width of a parallelogram is not fixed. Generally, increasing the width tends to increase the perimeter, while decreasing the width tends to decrease the perimeter. However, the specific relationship depends on the other dimensions and properties of the parallelogram.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"How to Find the Perimeter of a Parallelogram with Missing Side?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"We cannot find the perimeter of a parallelogram just using one side, but if we know the height and angle of the parallelogram as well, then we can find it. The perimeter of a parallelogram whose base is a, height is h, and one of the vertex angles is \u03b8 is 2a + 2h \/ sin \u03b8.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"How to Find the Perimeter of Parallelogram?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The perimeter of a parallelogram is obtained just by adding all its sides. Since the opposite sides of a parallelogram are equal, it is sufficient to know its two adjacent sides to find the perimeter. But we may not be given with two adjacent sides always, instead, we may be provided with some other information about it to find its perimeter.   If adjacent sides of a parallelogram a and b are given then apply the formula 2a + 2b to find its perimeter.  If one of the sides of a parallelogram is a and its diagonals are x and y then apply the formula 2a + \u221a(2x2 + 2y2 - 4a2) to find its perimeter.  If the base of a parallelogram is a, its height is h, and one of its vertex angles is \u03b8 then apply the formula 2a + 2h \/ sin \u03b8 to find its perimeter.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What is the perimeter of parallelogram using base and height?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The formula for the perimeter of a parallelogram when base and height are given along with an interior angle is:  P = 2 (b +h\/cos \u03b8)  where b = base, h = height of parallelogram with respect to base, \u03b8 is the interior angle.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t\t\t\t]\n\t}\n<\/script>\n\n","protected":false},"excerpt":{"rendered":"<p>Introduction The perimeter of a parallelogram is the length of the continuous line formed by its boundary. Its unit is [&hellip;]<\/p>\n","protected":false},"author":53,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Perimeter of a Parallelogram Formula","_yoast_wpseo_title":"Perimeter of a Parallelogram Formula: Definition, Calculation & Examples","_yoast_wpseo_metadesc":"Consider a parallelogram whose adjacent sides are of length \u2018a\u2019 and \u2018b\u2019.\u00a0Perimeter of a Parallelogram Formula\u00a0is 2(a + b).","custom_permalink":"formulas\/perimeter-of-a-parallelogram-formula\/"},"categories":[8438,8536],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Perimeter of a Parallelogram Formula: Definition, Calculation &amp; Examples<\/title>\n<meta name=\"description\" content=\"Consider a parallelogram whose adjacent sides are of length \u2018a\u2019 and 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