{"id":154724,"date":"2022-03-25T23:51:09","date_gmt":"2022-03-25T18:21:09","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/area-of-quadrilateral-introduction-formulae-calculations-solved-examples\/"},"modified":"2025-05-29T10:15:05","modified_gmt":"2025-05-29T04:45:05","slug":"area-of-quadrilateral-introduction-formulae-calculations-solved-examples","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-quadrilateral\/","title":{"rendered":"Area of Quadrilateral- Introduction,  Solved Examples, Formulae, Calculations,"},"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\/area-of-a-quadrilateral\/#What_is_the_Area_of_the_Quadrilateral\" title=\"What is the Area of the Quadrilateral?\">What is the Area of the Quadrilateral?<\/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\/area-of-a-quadrilateral\/#Types_of_Quadrilateral\" title=\"Types of Quadrilateral\">Types of Quadrilateral<\/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\/area-of-a-quadrilateral\/#Definition_of_Regular_Quadrilateral\" title=\"Definition of Regular Quadrilateral\">Definition of Regular Quadrilateral<\/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\/area-of-a-quadrilateral\/#Definition_of_Irregular_Quadrilateral\" title=\"Definition of Irregular Quadrilateral\">Definition of Irregular Quadrilateral<\/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\/area-of-a-quadrilateral\/#Area_of_Quadrilateral_formula\" title=\"Area of Quadrilateral formula\">Area of Quadrilateral formula<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-quadrilateral\/#Area_of_Quadrilateral\" title=\"Area of Quadrilateral\">Area of Quadrilateral<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-quadrilateral\/#Area_of_Quadrilateral_using_Herons_formula\" title=\"Area of Quadrilateral using Heron&#8217;s formula\">Area of Quadrilateral using Heron&#8217;s formula<\/a><\/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\/area-of-a-quadrilateral\/#Area_Formula_of_Different_Types_of_Quadrilaterals\" title=\"Area Formula of Different Types of Quadrilaterals\">Area Formula of Different Types of Quadrilaterals<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-quadrilateral\/#Area_of_square\" title=\"Area of square\">Area of square<\/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\/maths\/area-of-a-quadrilateral\/#Area_of_parallelogram\" title=\"Area of parallelogram\">Area 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\/maths\/area-of-a-quadrilateral\/#Area_of_rectangle\" title=\"Area of rectangle\">Area of rectangle<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-quadrilateral\/#Area_of_rhombus\" title=\"Area of rhombus\">Area of rhombus<\/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\/area-of-a-quadrilateral\/#Area_of_kite\" title=\"Area of kite\">Area of kite<\/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\/area-of-a-quadrilateral\/#Area_of_trapezoid\" title=\"Area of trapezoid\">Area of trapezoid<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-quadrilateral\/#Perimeter_of_Quadrilateral\" title=\"Perimeter of Quadrilateral\">Perimeter of Quadrilateral<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-quadrilateral\/#Perimeter_of_Quadrilateral_formula\" title=\"Perimeter of Quadrilateral formula\">Perimeter of Quadrilateral formula<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-quadrilateral\/#Properties_of_Quadrilateral\" title=\"Properties of Quadrilateral\">Properties of Quadrilateral<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-18\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-quadrilateral\/#Area_of_Quadrilateral_Solved_Examples\" title=\"Area of Quadrilateral: Solved Examples\">Area of Quadrilateral: Solved Examples<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-19\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-quadrilateral\/#Area_of_Quadrilateral_Practice_Questions\" title=\"Area of Quadrilateral: Practice Questions\">Area of Quadrilateral: Practice Questions<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-20\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-quadrilateral\/#FAQs_Area_of_Quadrilaterals\" title=\"FAQs: Area of Quadrilaterals\">FAQs: Area of Quadrilaterals<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-21\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-quadrilateral\/#Can_side_lengths_alone_determine_the_area\" title=\"Can side lengths alone determine the area?\">Can side lengths alone determine the area?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-22\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-quadrilateral\/#What_is_the_formula_for_the_area_of_a_rectangle\" title=\"What is the formula for the area of a rectangle?\">What is the formula for the area of a rectangle?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-23\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-quadrilateral\/#How_do_you_find_the_area_of_a_parallelogram\" title=\"How do you find the area of a parallelogram?\">How do you find the area of a parallelogram?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-24\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-quadrilateral\/#How_to_calculate_the_area_of_a_trapezoid\" title=\"How to calculate the area of a trapezoid?\">How to calculate the area of a trapezoid?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<p>The area of the quadrilateral refers to the region that is present inside it. The area of the Quadrilateral is enclosed by its 4 sides. A Quadrilateral is a four-sided paragon. In the Quadrilateral there are four vertices, four angles, four diagonals, and four sides. There are six types of Quadrilateral. The examples of quadrilaterals are square, rectangle, parallelogram, rhombuses, kite, and trapezoid.<\/p>\n<p>In this article, we will discuss the Area of Quadrilateral, their types, formulas, properties of quadrilaterals, etc.<\/p>\n<p style=\"text-align: center;\"><strong>Also Check: <a href=\"https:\/\/infinitylearn.com\/surge\/maths\/average\/\">Average<\/a><\/strong><\/p>\n<h2><span class=\"ez-toc-section\" id=\"What_is_the_Area_of_the_Quadrilateral\"><\/span>What is the Area of the Quadrilateral?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The Area of a Quadrilateral is a region enclosed by all the sides of the Quadrilateral. It is defined as the region occupied by the boundary of a flat object. The measurement is done In square units with square metres ( m\u00b2). The method of the Area of Quadrilateral depends on the type of quadrilateral.<\/p>\n<div class=\"card\" style=\"text-align: center;\"><a class=\"btn btn-primary\" href=\"https:\/\/infinitylearn.com\/one-stop-solutions-for-school-prep?utm_source=surge&amp;utm_medium=interlinking\"><br \/>\n<img loading=\"lazy\" class=\" lazyloaded\" style=\"width: 100%; border-radius: 10px;\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2024\/09\/one-stop-solution-for-school-exam.jpg\" alt=\"one-stop-solutions school exam\" width=\"1201\" height=\"636\" data-src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2024\/09\/one-stop-solution-for-school-exam.jpg\" \/><\/a><a class=\"btn btn-primary\" href=\"https:\/\/infinitylearn.com\/one-stop-solutions-for-school-prep?utm_source=surge&amp;utm_medium=interlinking\"><button><strong>One Stop Solutions for School Exam Preparation<\/strong><\/button><\/a><\/p>\n<div style=\"text-align: center;\">Boost your school preparation with our comprehensive guide for CBSE, ICSE, and State Board exams. Get all the resources you need in one place and excel in your academic journey. Discover the ultimate one-stop solution at Infinity Learn today!<\/div>\n<\/div>\n<h2><span class=\"ez-toc-section\" id=\"Types_of_Quadrilateral\"><\/span>Types of Quadrilateral<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>There are major two types of Quadrilateral.<\/p>\n<ol>\n<li>Regular Quadrilateral<\/li>\n<li>Irregular Quadrilateral<\/li>\n<\/ol>\n<h3><span class=\"ez-toc-section\" id=\"Definition_of_Regular_Quadrilateral\"><\/span>Definition of Regular Quadrilateral<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>A regular Quadrilateral is a four-sided shape where all sides and angles are equal in length.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Definition_of_Irregular_Quadrilateral\"><\/span>Definition of Irregular Quadrilateral<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>An irregular Quadrilateral is a four-sided shape where all sides and angles are not all equal.<\/p>\n<p style=\"text-align: center;\"><strong>Also Check:<a href=\"https:\/\/infinitylearn.com\/surge\/maths\/circumference-of-a-circle\/\"> Circumstance of Circle<\/a><\/strong><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Area_of_Quadrilateral_formula\"><\/span>Area of Quadrilateral formula<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Formulas of the area of Quadrilateral for various types of Quadrilateral are given below:<\/p>\n<table>\n<tbody>\n<tr>\n<td><strong>Quadrilateral Names<\/strong><\/td>\n<td><strong>Area <\/strong><\/td>\n<\/tr>\n<tr>\n<td>Rhombus<\/td>\n<td>12 d1 d2 , where d1 and d2 are the diagonals of the rhombus.<\/td>\n<\/tr>\n<tr>\n<td>Parallelogram<\/td>\n<td>b h, where b is the breadth while h is the height.<\/td>\n<\/tr>\n<tr>\n<td>Square<\/td>\n<td>a2, where a is the side of the square.<\/td>\n<\/tr>\n<tr>\n<td>Rectangle<\/td>\n<td>l b where l is the length and b is the breadth of the rectangle.<\/td>\n<\/tr>\n<tr>\n<td>Kite<\/td>\n<td>12 d1 d2 , where d1 and d2 are the diagonals of the rhombus.<\/td>\n<\/tr>\n<tr>\n<td>Trapezoid<\/td>\n<td>12 (a + b) h<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: center;\">\n<h2><span class=\"ez-toc-section\" id=\"Area_of_Quadrilateral\"><\/span>Area of Quadrilateral<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The area of the Quadrilateral formula Dividing into two triangles :<\/p>\n<p>The BD length in Quadrilateral ABCD is d. The diagonal BD can divide ABCD into triangles BAD and BCD. We determine the area of each triangle to add up the area of the Quadrilateral ABCD.<\/p>\n<p>Triangle ABD Area = \u00bd \u00d7d \u00d7 h1<\/p>\n<p>Triangle BCD Area = \u00bd \u00d7d \u00d7 h2<\/p>\n<p>The area of the quadrilateral ABCD = area of triangle ABD + area of triangle BCD.<\/p>\n<p>Thus the area of Quadrilateral ABCD = \u00bd \u00d7d \u00d7 h1 + \u00bd \u00d7d \u00d7 h2 = \u00bd \u00d7d \u00d7 (h1 + h2)<\/p>\n<p>Thus, using this formula we can find the area of the Quadrilateral.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Area_of_Quadrilateral_using_Herons_formula\"><\/span>Area of Quadrilateral using Heron&#8217;s formula<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Heron&#8217;s formula is used to find the area of a triangle if the three sides of the triangle are given. Follow these steps to find the Area of the Quadrilateral given below:<\/p>\n<p>Step 1: Divide the Quadrilateral into two triangles. Using a diagonal whose diagonal length is known.<\/p>\n<p>Step 2: Apply Heron&#8217;s formula to find the area of the Quadrilateral.<\/p>\n<p>Heron&#8217;s Formula = Area (A) = s (s &#8211; a)(s &#8211; b)(s &#8211; c) , where is the perimeter while a, b, and c are the sides of the triangle.<\/p>\n<p>Step 3: Now add the area of two triangles to find the area of the Quadrilateral.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Area_Formula_of_Different_Types_of_Quadrilaterals\"><\/span>Area Formula of Different Types of Quadrilaterals<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>There are 6 types of Quadrilateral. These are square, rectangle, parallelogram, rhombuses, kite, trapezoid. There are specific formulas to find the area of each of these Quadrilaterals. These formulas are given below:<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Area_of_square\"><\/span>Area of square<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The Quadrilateral which has four equal sides and four equal lengths is known as square. It is also a regular Quadrilateral its equal sides and equal angles.<\/p>\n<p><strong>The formula of the area of the square = <\/strong>a \u00d7 a = a\u00b2 square unit<\/p>\n<p>Where \u201ca\u201d is the length of the Sides of Square.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Area_of_parallelogram\"><\/span>Area of parallelogram<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>A parallelogram is a simple Quadrilateral. Parallelogram Quadrilateral has opposite sides that are equal. It also has equal to opposite angles.<\/p>\n<p><strong>The formula of the area of the parallelogram = <\/strong>b \u00d7 h square unit<\/p>\n<p>where \u201cb\u201d is the base length and \u201ch\u201d is the height of the parallelogram.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Area_of_rectangle\"><\/span>Area of rectangle<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>A rectangle Quadrilateral has four right angles. Every angle in a rectangle is 90\u00b0. A rectangle has parallel sides as well as equal opposite sides. It&#8217;s diagonal cut in half.<\/p>\n<p><strong>The formula of the area of the rectangle = <\/strong>l \u00d7b square unit<\/p>\n<p>where \u201cl\u201d is the length and \u201cheight\u201d of the parallelogram.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Area_of_rhombus\"><\/span>Area of rhombus<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>In a rhombus Quadrilateral its opposite sides are parallel to one another. Its four sides are the same length. However, the angles are equal to 90\u00b0 (degree).<\/p>\n<p><strong>The formula of the area of the rhombus = <\/strong>(\u00bd)\u00d7d\u00b9\u00d7d\u00b2 square unit<\/p>\n<p>There \u201cd\u00b9\u201d and \u201cd\u00b2\u201d are the two diagonals of rhombus.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Area_of_kite\"><\/span>Area of kite<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>In kite Quadrilateral, it has two pairs of sides. These sides are equal in length. The diagonals are equal to 90\u00b0.<\/p>\n<p><strong>The formula of the area of the kite = <\/strong>(\u00bd)pq square unit<\/p>\n<p>where \u201cp\u201d and \u201cq\u201d are two diagonals of the kite.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Area_of_trapezoid\"><\/span>Area of trapezoid<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Trapezoid Quadrilateral is a combination of two triangles. It has two parallel sides.<\/p>\n<p><strong>The formula of the area of the trapezoid = <\/strong>(\u00bd)(a+b) h square unit<\/p>\n<p>where \u201ca\u201d and \u201cb\u201d are the lengths of parallel sides and \u201ch\u201d is the height of the trapezoid.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Perimeter_of_Quadrilateral\"><\/span>Perimeter of Quadrilateral<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A Quadrilateral is a four-sided polygon. It can be regular or Irregular. The perimeter of a Quadrilateral is the total length of its boundary.<\/p>\n<ul>\n<li>In the regular perimeter Quadrilateral, its sides and angles are equal in length and measure.<\/li>\n<li>In the Irregular perimeter Quadrilateral, its sides and angles are not equal.<\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"Perimeter_of_Quadrilateral_formula\"><\/span>Perimeter of Quadrilateral formula<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>By adding all its side lengths we can obtain the perimeter of the Quadrilateral. The formula for the perimeter of the Quadrilateral is:<\/p>\n<p>Perimeter = a + b + c + d<\/p>\n<p>Where, a, b, c, and d are the sides of the given quadrilateral figure.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Properties_of_Quadrilateral\"><\/span>Properties of Quadrilateral<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li>Every Quadrilateral encloses four vertices and four sides as well as four angles.<\/li>\n<li>The sum of its angles is 360\u00b0(degree).<\/li>\n<li>Generally, a Quadrilateral has different lengths and angles of different measures.<\/li>\n<li>Quadrilaterals are in 2D shapes.<\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"Area_of_Quadrilateral_Solved_Examples\"><\/span>Area of Quadrilateral: Solved Examples<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>Q.1. Find the area of a rectangle with a length of 8 cm and a width of 5 cm.<\/strong><\/p>\n<p><strong>Ans.<\/strong> We know that the formula of the area of the rectangle = l \u00d7b square unit<\/p>\n<p>Therefore, The area of the rectangle = 8 \u00d7 5 square unit<\/p>\n<p>= 40 cm square<\/p>\n<p><strong> 2. Find the area of a parallelogram with a base of 12 m and a height of 7 m.<\/strong><\/p>\n<p><strong>Ans.<\/strong> We know that the formula of the area of the parallelogram = b \u00d7 h square unit<\/p>\n<p>Therefore, the area of the parallelogram = b \u00d7 h square unit<\/p>\n<p>= 12 7 = 84 m square.<\/p>\n<p><strong> 3. Find the area of a trapezoid with bases of 10 cm and 6 cm and a height of 4 cm.<\/strong><\/p>\n<p><strong>Ans. <\/strong>we know that The formula of the area of the trapezoid = (\u00bd)(a+b) h square unit<\/p>\n<p>Therefore, the area of the trapezoid = (\u00bd)(10+6) 4 square unit<\/p>\n<p>= (\u00bd)(16) 4 square unit<\/p>\n<p>= (16) 2 = 32 square unit<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Area_of_Quadrilateral_Practice_Questions\"><\/span>Area of Quadrilateral: Practice Questions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ol>\n<li>Find the area of a rectangular tray with a length of 18 cm and a width of 9 cm.<\/li>\n<li>Find the area of a parallelogram with a base of 22 m and a height of 8 m.<\/li>\n<li>Find the area of a trapezoid with bases of 12 cm and 8 cm and a height of 2 cm.<\/li>\n<\/ol>\n<h2><span class=\"ez-toc-section\" id=\"FAQs_Area_of_Quadrilaterals\"><\/span>FAQs: Area of Quadrilaterals<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=\"Can_side_lengths_alone_determine_the_area\"><\/span>Can side lengths alone determine the 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\tSides cannot always alone determine the area of the given quadrilateral. For some quadrilaterals, we need more information like angles or 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<h3><span class=\"ez-toc-section\" id=\"What_is_the_formula_for_the_area_of_a_rectangle\"><\/span>What is the formula for the area of a rectangle?<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\tArea of a rectangle = Length \u00d7 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_area_of_a_parallelogram\"><\/span>How do you find the area 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\tArea of a parallelogram = Base \u00d7 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<h3><span class=\"ez-toc-section\" id=\"How_to_calculate_the_area_of_a_trapezoid\"><\/span>How to calculate the area of a trapezoid?<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\tArea of a trapezoid = \u00bd \u00d7 (Base\u2081 + Base\u2082) \u00d7 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\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\": \"Can side lengths alone determine the area?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Sides cannot always alone determine the area of the given quadrilateral. For some quadrilaterals, we need more information like angles or 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\": \"What is the formula for the area of a rectangle?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Area of a rectangle = Length \u00d7 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 area of a parallelogram?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Area of a parallelogram = Base \u00d7 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\": \"How to calculate 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\": \"Area of a trapezoid = \u00bd \u00d7 (Base\u2081 + Base\u2082) \u00d7 Height.\"\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 area of the quadrilateral refers to the region that is present inside it. The area of the Quadrilateral is [&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":"Area of Quadrilateral","_yoast_wpseo_title":"Area of Quadrilateral- Introduction, Formulae, Calculations, Solved Examples","_yoast_wpseo_metadesc":"An area of quadrilateral is the region enclosed by the four sides of the quadrilateral. Learn and understand only on infinitylearn.com.","custom_permalink":"maths\/area-of-a-quadrilateral\/"},"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>Area of Quadrilateral- Introduction, Formulae, Calculations, Solved Examples<\/title>\n<meta name=\"description\" content=\"An area of quadrilateral is the region enclosed by the four sides of the quadrilateral. 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