{"id":608197,"date":"2023-06-19T18:53:39","date_gmt":"2023-06-19T13:23:39","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=608197"},"modified":"2023-07-10T15:59:15","modified_gmt":"2023-07-10T10:29:15","slug":"trapezoid-formula","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/formulas\/trapezoid-formula\/","title":{"rendered":"Trapezoid 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\/trapezoid-formula\/#Trapezoid_Formula\" title=\"Trapezoid Formula \">Trapezoid Formula <\/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\/formulas\/trapezoid-formula\/#Introduction\" title=\"Introduction  \">Introduction  <\/a><\/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\/trapezoid-formula\/#Trapezoid_Formula-2\" title=\"Trapezoid Formula  \">Trapezoid Formula  <\/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\/trapezoid-formula\/#Solved_Examples_on_Trapezoid_Formula\" title=\" Solved Examples on Trapezoid Formula: \"> Solved Examples on Trapezoid Formula: <\/a><ul class='ez-toc-list-level-4'><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/trapezoid-formula\/#Frequently_Asked_Questions_on_Trapezoid_Formula\" title=\"Frequently Asked Questions on Trapezoid Formula: \">Frequently Asked Questions on Trapezoid Formula: <\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/trapezoid-formula\/#What_is_the_formula_for_finding_the_area_of_a_trapezoid\" title=\"What is the formula for finding the area of a trapezoid?\">What is the formula for finding the area of a trapezoid?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/trapezoid-formula\/#Are_the_diagonals_of_a_trapezoid_equal\" title=\"Are the diagonals of a trapezoid equal?\">Are the diagonals of a trapezoid equal?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/trapezoid-formula\/#Can_a_trapezoid_be_a_square\" title=\"Can a trapezoid be a square?\">Can a trapezoid be a square?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/trapezoid-formula\/#Can_a_trapezoid_have_perpendicular_diagonals\" title=\"Can a trapezoid have perpendicular diagonals?\">Can a trapezoid have perpendicular diagonals?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/trapezoid-formula\/#Can_the_trapezoid_formula_be_used_if_the_bases_are_not_parallel\" title=\"Can the trapezoid formula be used if the bases are not parallel? \">Can the trapezoid formula be used if the bases are not parallel? <\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/trapezoid-formula\/#What_are_the_different_types_of_trapezoids\" title=\"What are the different types of trapezoids? \">What are the different types of trapezoids? <\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/trapezoid-formula\/#Is_trapezoid_a_quadrilateral\" title=\"Is trapezoid a quadrilateral? \">Is trapezoid a quadrilateral? <\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/trapezoid-formula\/#What_are_the_three_attributes_of_trapezoids\" title=\"What are the three attributes of trapezoids? \">What are the three attributes of trapezoids? <\/a><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span style=\"font-size: 24pt;\"><b>Trapezoid Formula<\/b> <\/span><\/h2>\n<h2><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;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/h2>\n<p><span data-contrast=\"none\">Trapezoids are quadrilaterals that have two parallel sides and two non-parallel sides. It is also called a Trapezium. A trapezoid is a four-sided closed shape or figure which cover some area and also has its perimeter. It is a 2D figure and not 3D figure. The sides which are parallel to each other are termed the bases of the trapezoid. The non-parallel sides are known as legs or lateral sides. The distance between the parallel sides is known as the altitude. The area of trapezium along with its types, properties and other trapezoid-related formulas are provided here in this article. <\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<h2><b><span data-contrast=\"none\">Trapezoid Formula <\/span><\/b><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/h2>\n<p><span data-contrast=\"none\">The<strong><a href=\"https:\/\/infinitylearn.com\/surge\/formulas\/trapezoidal-rule-formula\/\"> trapezoid formula<\/a><\/strong> is used to calculate the area of a trapezoid, a quadrilateral with one pair of parallel sides. The formula states that the area (A) of a trapezoid is equal to half the sum of the lengths of its parallel sides (base1 and base2) multiplied by the height (h).<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><img loading=\"lazy\" class=\"size-medium wp-image-608218 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/06\/Screenshot-2023-06-19-185247-300x205.png\" alt=\"\" width=\"300\" height=\"205\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/06\/Screenshot-2023-06-19-185247-300x205.png?v=1687180999 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/06\/Screenshot-2023-06-19-185247.png?v=1687180999 408w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><span data-contrast=\"none\">Mathematically, the formula can be written as:<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">A = (1\/2) x (base1 + base2) x h<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">To understand how this formula is derived, we can break down the trapezoid into a rectangle and two triangles. The height of the trapezoid is the perpendicular distance between the parallel sides, and it determines how tall the trapezoid is.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">The rectangle is formed by extending the shorter base (base1) to the longer base (base2). Its width is equal to the height of the trapezoid. Thus, the area of the rectangle is base1 x h.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Next, we have two triangles. Each triangle is formed by one of the bases and the height of the trapezoid. The area of a triangle is calculated as half the base multiplied by the height. Therefore, the combined area of both triangles is (1\/2) x base2 x h.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Adding the area of the rectangle and the two triangles together, we get the total area of the trapezoid:<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><strong>A = (base1 x h) + (1\/2 x base2 x h) = (1\/2) x (base1 + base2) x h <\/strong><\/p>\n<p><span data-contrast=\"none\">This formula allows us to calculate the <strong><a href=\"https:\/\/infinitylearn.com\/surge\/formulas\/area-of-trapezoid-formula\/\" target=\"_blank\" rel=\"noopener\">area of a trapezoid<\/a><\/strong> by knowing the lengths of its parallel sides and the height. It is important to ensure that the bases are parallel for the formula to be valid.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<h3><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><b><span data-contrast=\"none\">Solved Examples on Trapezoid Formula:<\/span><\/b><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/h3>\n<p><b><span data-contrast=\"none\">Example 1:<\/span><\/b><span data-contrast=\"none\"> Find the area of a trapezoid with base1 = 5 cm, base2 = 9 cm, and height = 4 cm.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559738&quot;:240,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Solution:<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Using the trapezoid formula: A = (1\/2) x (base1 + base2) x height<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Substituting the given values: A = (1\/2) x (5 + 9) x 4<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Calculating: A = (1\/2) x 14 x 4<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">A = 28 cm<\/span><span data-contrast=\"none\">2<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Therefore, the area of the trapezoid is 28 square centimeters.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><span data-contrast=\"none\"> <\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><b><span data-contrast=\"none\">Example 2:<\/span><\/b><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">The area of a trapezoid is 45 square units. The length of base1 is 8 units, and the length of base2 is 12 units. Find the height. <\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Solution:<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Using the trapezoid formula: A = (1\/2) x (base1 + base2) x height<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Substituting the given values: 45 = (1\/2) x (8 + 12) x height<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Simplifying: 45 = (1\/2) x 20 x height<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">45 = 10 x height<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Dividing both sides by 10: height = 4.5 units<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Therefore, the height of the trapezoid is 4.5 units.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><span data-contrast=\"none\"> <\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><b><span data-contrast=\"none\">Example 3:<\/span><\/b><span data-contrast=\"none\"> The area of a trapezoid is 72 square inches. The length of base1 is 10 inches, and the height is 8 inches. Find the length of base2.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Solution:<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Using the trapezoid formula: A = (1\/2) x (base1 + base2) x height<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Substituting the given values: 72 = (1\/2) x (10 + base2) x 8<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Simplifying: 72 = 4 x (10 + base2)<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Dividing both sides by 4: 18 = 10 + base2<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Subtracting 10 from both sides: base2 = 8 inches<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Therefore, the length of base2 is 8 inches. <\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<h4><span style=\"font-size: 14pt;\"><b>Frequently Asked Questions on Trapezoid Formula:<\/b> <\/span><\/h4>\n\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h4><span class=\"ez-toc-section\" id=\"What_is_the_formula_for_finding_the_area_of_a_trapezoid\"><\/span>What is the formula for finding the area of a trapezoid?<span class=\"ez-toc-section-end\"><\/span><\/h4>\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 finding the area of a trapezoid is (1\/2) multiplied by the sum of the lengths of its parallel sides, known as the bases, multiplied by the height of the trapezoid. Mathematically, it can be expressed as Area = (1\/2) x (base1 + base2) x height.\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<h4><span class=\"ez-toc-section\" id=\"Are_the_diagonals_of_a_trapezoid_equal\"><\/span>Are the diagonals of a trapezoid equal?<span class=\"ez-toc-section-end\"><\/span><\/h4>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tNo, the diagonals of a trapezoid are not necessarily equal in length. A trapezoid is a quadrilateral with one pair of parallel sides. The diagonals of a trapezoid are the line segments connecting non-adjacent vertices. In a trapezoid, the diagonals are usually of different lengths, except in the special case of an isosceles trapezoid. In an isosceles trapezoid, the diagonals are equal, as the non-parallel sides are congruent. However, in a general trapezoid, the diagonals can have different lengths, depending on the specific dimensions and shape of the trapezoid. \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<h4><span class=\"ez-toc-section\" id=\"Can_a_trapezoid_be_a_square\"><\/span>Can a trapezoid be a square?<span class=\"ez-toc-section-end\"><\/span><\/h4>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tA trapezoid can be a square if all the sides are equal in length and at right angles to each other. So, all squares are trapezoids, but, not all trapezoids are squares.  \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<h4><span class=\"ez-toc-section\" id=\"Can_a_trapezoid_have_perpendicular_diagonals\"><\/span>Can a trapezoid have perpendicular diagonals?<span class=\"ez-toc-section-end\"><\/span><\/h4>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tTrapezoids do not necessarily have perpendicular diagonals. A trapezoid, however, can be drawn and oriented in such a way it has perpendicular diagonals.  \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<h4><span class=\"ez-toc-section\" id=\"Can_the_trapezoid_formula_be_used_if_the_bases_are_not_parallel\"><\/span>Can the trapezoid formula be used if the bases are not parallel? <span class=\"ez-toc-section-end\"><\/span><\/h4>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tNo, the trapezoid formula is only applicable when the trapezoid has one pair of parallel sides. If the bases are not parallel, a different formula or approach is required to calculate the area.  \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<h4><span class=\"ez-toc-section\" id=\"What_are_the_different_types_of_trapezoids\"><\/span>What are the different types of trapezoids? <span class=\"ez-toc-section-end\"><\/span><\/h4>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThere are different types of trapezoids: isosceles trapezoid, right trapezoid, and scalene trapezoid. A trapezoid with two non-parallel sides of the same length is called an isosceles trapezoid.  \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<h4><span class=\"ez-toc-section\" id=\"Is_trapezoid_a_quadrilateral\"><\/span>Is trapezoid a quadrilateral? <span class=\"ez-toc-section-end\"><\/span><\/h4>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tYes, a trapezoid is a quadrilateral who has its two sides parallel and the other two sides are non-parallel.\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<h4><span class=\"ez-toc-section\" id=\"What_are_the_three_attributes_of_trapezoids\"><\/span>What are the three attributes of trapezoids? <span class=\"ez-toc-section-end\"><\/span><\/h4>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThe base angles and the diagonals of an isosceles trapezoid are equal. The intersection point of the diagonals is collinear to the midpoints of the two opposite sides. Opposite sides of an isosceles trapezoid are of the same length or congruent to each other. \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 formula for finding the area of a trapezoid?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The formula for finding the area of a trapezoid is (1\/2) multiplied by the sum of the lengths of its parallel sides, known as the bases, multiplied by the height of the trapezoid. Mathematically, it can be expressed as Area = (1\/2) x (base1 + base2) x height.\"\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\": \"Are the diagonals of a trapezoid equal?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"No, the diagonals of a trapezoid are not necessarily equal in length. A trapezoid is a quadrilateral with one pair of parallel sides. The diagonals of a trapezoid are the line segments connecting non-adjacent vertices. In a trapezoid, the diagonals are usually of different lengths, except in the special case of an isosceles trapezoid. In an isosceles trapezoid, the diagonals are equal, as the non-parallel sides are congruent. However, in a general trapezoid, the diagonals can have different lengths, depending on the specific dimensions and shape of the trapezoid.\"\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 a trapezoid be a square?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"A trapezoid can be a square if all the sides are equal in length and at right angles to each other. So, all squares are trapezoids, but, not all trapezoids are squares.\"\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 a trapezoid have perpendicular diagonals?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Trapezoids do not necessarily have perpendicular diagonals. A trapezoid, however, can be drawn and oriented in such a way it has perpendicular diagonals.\"\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 trapezoid formula be used if the bases are not parallel? \",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"No, the trapezoid formula is only applicable when the trapezoid has one pair of parallel sides. If the bases are not parallel, a different formula or approach is required to calculate the area.\"\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 are the different types of trapezoids? \",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"There are different types of trapezoids: isosceles trapezoid, right trapezoid, and scalene trapezoid. A trapezoid with two non-parallel sides of the same length is called an isosceles trapezoid.\"\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\": \"Is trapezoid a quadrilateral? \",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Yes, a trapezoid is a quadrilateral who has its two sides parallel and the other two sides are non-parallel.\"\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 are the three attributes of trapezoids? \",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The base angles and the diagonals of an isosceles trapezoid are equal. The intersection point of the diagonals is collinear to the midpoints of the two opposite sides. Opposite sides of an isosceles trapezoid are of the same length or congruent to each other.\"\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>Trapezoid Formula Introduction Trapezoids are quadrilaterals that have two parallel sides and two non-parallel sides. It is also called a [&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":"Trapezoid Formula\u00a0","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Trapezoids are quadrilaterals that have two parallel sides and two non-parallel sides. It is also called a Trapezium. Click here to know more","custom_permalink":"formulas\/trapezoid-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>Trapezoid Formula\u00a0 - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"Trapezoids are quadrilaterals that have two parallel sides and two non-parallel sides. It is also called a Trapezium. 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