{"id":154688,"date":"2022-03-25T23:48:46","date_gmt":"2022-03-25T18:18:46","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/perimeter-of-square\/"},"modified":"2024-01-23T18:23:07","modified_gmt":"2024-01-23T12:53:07","slug":"perimeter-of-square","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/perimeter-of-square\/","title":{"rendered":"Perimeter of Square"},"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\/maths\/perimeter-of-square\/#What_is_the_Perimeter_of_Square\" title=\"What is the Perimeter of Square?\">What is the Perimeter of Square?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/perimeter-of-square\/#Perimeter_of_Square_Formula\" title=\"Perimeter of Square Formula\">Perimeter of Square Formula<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/perimeter-of-square\/#Perimeter_of_Square_Example\" title=\"Perimeter of Square : Example\">Perimeter of Square : Example<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/perimeter-of-square\/#Perimeter_of_Square_Derivation\" title=\"Perimeter of  Square: Derivation\">Perimeter of  Square: Derivation<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/perimeter-of-square\/#How_to_Solve_the_Perimeter_of_Square\" title=\"How to Solve the Perimeter of Square\">How to Solve the Perimeter of Square<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/perimeter-of-square\/#Perimeter_by_using_Diagonal\" title=\"Perimeter by using Diagonal\">Perimeter by using Diagonal<\/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\/maths\/perimeter-of-square\/#Perimeter_by_using_Area\" title=\"Perimeter by using Area\">Perimeter by using Area<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/perimeter-of-square\/#Perimeter_of_a_Rectangle\" title=\"Perimeter of a Rectangle\">Perimeter of a Rectangle<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/perimeter-of-square\/#Perimeter_of_a_Rectangle_Formula\" title=\"Perimeter of a Rectangle Formula\">Perimeter of a Rectangle Formula<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/perimeter-of-square\/#Perimeter_of_a_Rectangle_Example\" title=\"Perimeter of a Rectangle: Example\">Perimeter of a Rectangle: Example<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/perimeter-of-square\/#FAQs_on_Perimeter_of_Square\" title=\"FAQs on Perimeter of Square\">FAQs on Perimeter of Square<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/perimeter-of-square\/#How_do_I_find_the_perimeter_of_a_square_if_the_length_of_one_side_is_given\" title=\"How do I find the perimeter of a square if the length of one side is given?\">How do I find the perimeter of a square if the length of one side is given?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/perimeter-of-square\/#Can_I_find_the_perimeter_of_a_square_if_only_the_diagonal_is_known\" title=\"Can I find the perimeter of a square if only the diagonal is known?\">Can I find the perimeter of a square if only the diagonal is known?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/perimeter-of-square\/#Can_the_perimeter_of_a_square_be_found_if_the_area_is_provided\" title=\"Can the perimeter of a square be found if the area is provided?\">Can the perimeter of a square be found if the area is provided?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<p>The perimeter of a square represents the entire length of its boundary in a two-dimensional plane. Precisely, The perimeter of a square refers to the total path encircling the shape. Therefore, for a closed geometric figure, like a square, the perimeter is found by adding up all its sides.<\/p>\n<p>Since a square has four equal sides, its perimeter equals the sum of these four sides. The formula for the perimeter of a square is derived by adding the lengths of all sides.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-705402\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/perimeter-of-square-copy-1.jpg\" alt=\"Perimeter of Square\" width=\"647\" height=\"484\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/perimeter-of-square-copy-1.jpg 647w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/perimeter-of-square-copy-1-300x224.jpg 300w\" sizes=\"(max-width: 647px) 100vw, 647px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"What_is_the_Perimeter_of_Square\"><\/span>What is the Perimeter of Square?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The perimeter of a closed geometrical figure is the total distance around it. The perimeter of the square is the sum of all four equal sides of the square. As we all know, all sides of a square are of equal length. Therefore, the formula for the perimeter of a square simplifies to 4 times the length of one side.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Perimeter_of_Square_Formula\"><\/span>Perimeter of Square Formula<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>As we all know, the formula for the perimeter of a square simplifies to 4 times the length of one side. Therefore,<\/p>\n<p><b>The perimeter of the Square = 4 \u00d7 Side of the square <\/b><\/p>\n<p>Measurement units like meters (m), centimetres (cm), inches (in), feet (ft), etc., are used to measure this distance.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Perimeter_of_Square_Example\"><\/span>Perimeter of Square : Example<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Lets consider a square whose side is 3cm each, therefore the perimeter of this square equals to the 4 times of the side of that square.<\/p>\n<p>\u21d2 The perimeter of the Square = 4 \u00d7 Side of the square<\/p>\n<p>\u21d2 The perimeter of the Square = 4 \u00d7 3 cm = 12 cm<\/p>\n<h3>Perimeter of  Square: Derivation<\/h3>\n<p>The derivation of the perimeter of a square formula is straightforward. The perimeter is the total length of all the sides of the square. Now, we apply the general formula for the perimeter of a polygon, which is the sum of all its sides, to a square.<\/p>\n<p>Therefore,<\/p>\n<p>The formula for the perimeter of a square, length of whose side is A cm, is given by:<\/p>\n<p><strong>The perimeter of the Square = side + side + side + side = A + A+ A + A  <\/strong><\/p>\n<p>Simplifying, we get:<\/p>\n<p><strong>The perimeter of the Square = 4A<\/strong><\/p>\n<p>Therefore, the final formula for the perimeter of a square is = 4 \u00d7 Side of the square<\/p>\n<p><a href=\"https:\/\/infinitylearn.com\/surge\/articles\/perimeter-of-circle\/\"> <button class=\"btn btn-primary\" style=\"width: 100%; cursor: pointer;\" type=\"button\">Perimeter of Circle<\/button> <\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"How_to_Solve_the_Perimeter_of_Square\"><\/span>How to Solve the Perimeter of Square<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>We have studied one of the most commonly used and easiest methods above. Other than that, we have two more methods to find the Perimeter of the Square. They are:<\/p>\n<ol>\n<li><strong>Perimeter by using Diagonal <\/strong><\/li>\n<li><strong>Perimeter by using Area <\/strong><\/li>\n<\/ol>\n<p>Let&#8217;s revise the simplest formula to solve the perimeter of the square:<\/p>\n<p><strong>The perimeter of the Square = side + side + side + side = A + A+ A + A  <\/strong><\/p>\n<p>Simplifying, we get:<\/p>\n<p><strong>The perimeter of the Square = 4A<\/strong><\/p>\n<p>Therefore, the final formula for the perimeter of a square is = 4 \u00d7 Side of the square<\/p>\n<p>Now lets have a look at another two formulas.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Perimeter_by_using_Diagonal\"><\/span>Perimeter by using Diagonal<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>If the length of the diagonal, d, is given, you can find the perimeter, P, using the formula:<\/p>\n<p><b>P = <\/b><b>d<\/b><b> <\/b><\/p>\n<p>Once you have the perimeter, you can also find the length of one side, s using the formula:<\/p>\n<p><b>s = P\/4<\/b><\/p>\n<h3><span class=\"ez-toc-section\" id=\"Perimeter_by_using_Area\"><\/span>Perimeter by using Area<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>We know Area of Square = s2 (where s is the side of the square)<\/p>\n<p>A=s2<\/p>\n<p>A=s<\/p>\n<p>Also, the perimeter of the square with side s is equal to 4 times the side, i.e.,<\/p>\n<p>P=4s<\/p>\n<p>s= P\/4<\/p>\n<p>P\/4 = A<\/p>\n<p>P = 4A<\/p>\n<p>After finding the perimeter, you can determine the length of one side, s, using s = P\/4.<\/p>\n<p><a href=\"https:\/\/infinitylearn.com\/surge\/perimeter-of-triangle-formula\/\"> <button class=\"btn btn-primary\" style=\"width: 100%; cursor: pointer;\" type=\"button\">Perimeter of Triangle Formula<\/button> <\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Perimeter_of_a_Rectangle\"><\/span>Perimeter of a Rectangle<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The <a href=\"https:\/\/infinitylearn.com\/surge\/perimeter-of-rectangle\/\"><strong>perimeter of a rectangle<\/strong><\/a> is the complete length covered by its sides or boundaries. As a rectangle has four sides, the perimeter is the sum of all four sides. The formula for calculating the perimeter P of a rectangle, where l is the length and w is the width, is given by:<\/p>\n<p><b>P = 2l + 2w = 2(l+w)<\/b><\/p>\n<p>This formula accounts for the fact that opposite sides of a rectangle are equal in length, and by adding all four sides, we obtain the total perimeter of the rectangle.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Perimeter_of_a_Rectangle_Formula\"><\/span>Perimeter of a Rectangle Formula<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The derivation of the<strong> perimeter P of a rectangle<\/strong> is equal to the sum of all its four sides. Let&#8217;s denote the length of the rectangle as l and the width as w. Since opposite sides of a rectangle are equal, the perimeter can be expressed as:<\/p>\n<p>P = l + w + l + w<\/p>\n<p>Simplifying this, we get:<\/p>\n<p>P = 2l + 2w<\/p>\n<p>P = 2(l + w)<\/p>\n<p>Thus, the derived formula for the perimeter of a rectangle is:<\/p>\n<p>P = 2l + 2w<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-704796\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/perimeter-of-rectangle.png\" alt=\"Perimeter of a Rectangle\" width=\"523\" height=\"180\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/perimeter-of-rectangle.png 523w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/perimeter-of-rectangle-300x103.png 300w\" sizes=\"(max-width: 523px) 100vw, 523px\" \/><\/p>\n<h3><span class=\"ez-toc-section\" id=\"Perimeter_of_a_Rectangle_Example\"><\/span>Perimeter of a Rectangle: Example<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Lets consider a rectangle whose length is 5cm and width is 3cm each. Therefore, the perimeter of this rectangle equals to:<\/p>\n<p>P = l + w + l + w<\/p>\n<p>P = 2(l + w)<\/p>\n<p>P = 2l + 2w<\/p>\n<p>We know, l= 5cm and w= 3cm<\/p>\n<p>Therefore, P = 2(5 + 3) = 2(8) = 16cm<\/p>\n<h2><span class=\"ez-toc-section\" id=\"FAQs_on_Perimeter_of_Square\"><\/span>FAQs on Perimeter of Square<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\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_I_find_the_perimeter_of_a_square_if_the_length_of_one_side_is_given\"><\/span>How do I find the perimeter of a square if the length of one side is given?<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 perimeter of a square when the length of one side, s is given, you can use the formula: Perimeter = 4s\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=\"Can_I_find_the_perimeter_of_a_square_if_only_the_diagonal_is_known\"><\/span>Can I find the perimeter of a square if only the diagonal is known?<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\tYes, you can find the perimeter P using the formula: P = root of diagonal \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=\"Can_the_perimeter_of_a_square_be_found_if_the_area_is_provided\"><\/span>Can the perimeter of a square be found if the area is provided?<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\tAbsolutely. If the area A of the square is given, you can find the perimeter using P = 4 root of A\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\": \"How do I find the perimeter of a square if the length of one side is given?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"To find the perimeter of a square when the length of one side, s is given, you can use the formula: Perimeter = 4s\"\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\": \"Can I find the perimeter of a square if only the diagonal is known?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Yes, you can find the perimeter P using the formula: P = root of diagonal\"\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\": \"Can the perimeter of a square be found if the area is provided?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Absolutely. If the area A of the square is given, you can find the perimeter using P = 4 root of A\"\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>The perimeter of a square represents the entire length of its boundary in a two-dimensional plane. Precisely, The perimeter of [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Perimeter of Square","_yoast_wpseo_title":"Calculate Perimeter of Square | Perimeter of Square Formula","_yoast_wpseo_metadesc":"Learn how to find the perimeter of a square with our simple square perimeter formula. Get step-by-step instructions and examples for square perimeter calculation","custom_permalink":"maths\/perimeter-of-square\/"},"categories":[13],"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>Calculate Perimeter of Square | Perimeter of Square Formula<\/title>\n<meta name=\"description\" content=\"Learn how to find the perimeter of a square with our simple square perimeter formula. 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