{"id":622915,"date":"2023-06-20T22:24:20","date_gmt":"2023-06-20T16:54:20","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=622915"},"modified":"2025-02-28T18:04:07","modified_gmt":"2025-02-28T12:34:07","slug":"surface-area-of-a-rectangle-formula","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/formulas\/surface-area-of-a-rectangle-formula\/","title":{"rendered":"Surface Area of a Rectangle 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\/surface-area-of-a-rectangle-formula\/#Introduction_to_Surface_Area_of_a_Rectangle\" title=\"Introduction to Surface Area of a Rectangle \">Introduction to Surface Area of a Rectangle <\/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\/surface-area-of-a-rectangle-formula\/#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-3\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/surface-area-of-a-rectangle-formula\/#Surface_Area_of_a_Rectangle\" title=\"Surface Area of a Rectangle: \">Surface Area of a Rectangle: <\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/surface-area-of-a-rectangle-formula\/#Diagonal_of_a_Rectangle\" title=\"Diagonal of a Rectangle: \">Diagonal of a Rectangle: <\/a><\/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\/formulas\/surface-area-of-a-rectangle-formula\/#Equation_of_Diagonal_of_a_Rectangle\" title=\"Equation of Diagonal of a Rectangle:  \">Equation of Diagonal of a Rectangle:  <\/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\/formulas\/surface-area-of-a-rectangle-formula\/#Important_Properties_of_Rectangle_Formulas\" title=\"Important Properties of Rectangle Formulas \">Important Properties of Rectangle Formulas <\/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\/formulas\/surface-area-of-a-rectangle-formula\/#Solved_Examples_on_Rectangle_formula\" title=\"Solved Examples on Rectangle formula: \">Solved Examples on Rectangle 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\/formulas\/surface-area-of-a-rectangle-formula\/#Frequently_asked_questions_on_Rectangle_formula\" title=\"Frequently asked questions on Rectangle formula: \">Frequently asked questions on Rectangle formula: <\/a><\/li><\/ul><\/nav><\/div>\n<h2><b><span data-contrast=\"none\">Introduction to Surface Area of a Rectangle<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/h2>\n<p><span data-contrast=\"none\">A rectangle is a four-sided polygon with opposite sides that are equal in length and four right angles. It is a special case of a parallelogram where all angles are right angles. The rectangle has several important properties, and its formulas are used to calculate its various attributes.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\"> <\/span><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-medium wp-image-622925 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/06\/Screenshot-2023-06-20-222357-300x134.png\" alt=\"\" width=\"300\" height=\"134\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/06\/Screenshot-2023-06-20-222357-300x134.png?v=1687280052 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/06\/Screenshot-2023-06-20-222357.png?v=1687280052 700w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<h2><b><span data-contrast=\"none\">Perimeter of a Rectangle:<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/h2>\n<p><b><span data-contrast=\"none\">Definition of Perimeter of a Rectangle:<\/span><\/b><span data-contrast=\"none\"> The perimeter of a rectangle is the total distance around its boundary.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><b><span data-contrast=\"none\">Equation of Perimeter of a Rectangle:<\/span><\/b> <b><span data-contrast=\"none\">Perimeter = 2(length + width) <\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Where,<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:0,&quot;335559731&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">length is the length of the longer side (also known as the longer base) and<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:0,&quot;335559731&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">width is the length of the shorter side (also known as the shorter base)<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:0,&quot;335559731&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:0,&quot;335559731&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<h2><b><span data-contrast=\"none\">Surface Area of a Rectangle:<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/h2>\n<p><b><span data-contrast=\"none\">Definition of Area of a Rectangle:<\/span><\/b><span data-contrast=\"none\"> The area of a rectangle is the measure of the surface enclosed by its four sides.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><b><span data-contrast=\"none\">Equation of Area of a Rectangle:<\/span><\/b> <b><span data-contrast=\"none\">Area = length * width <\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Where, <\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:0,&quot;335559731&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">length is the length of the longer side and<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:0,&quot;335559731&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">width is the length of the shorter side.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:0,&quot;335559731&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:0,&quot;335559731&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<h2><b><span data-contrast=\"none\">Diagonal of a Rectangle:<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/h2>\n<p><b><span data-contrast=\"none\">Definition of Diagonal of a Rectangle:<\/span><\/b><span data-contrast=\"none\"> The diagonal of a rectangle is the line segment connecting two opposite corners of the rectangle.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<h2><b><span data-contrast=\"none\">Equation of Diagonal of a Rectangle: <\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/h2>\n<p><span data-contrast=\"none\">Diagonal<\/span> <span data-contrast=\"none\">= <\/span><span data-contrast=\"auto\"> \u23b7<\/span><span data-contrast=\"none\"> {<\/span><span data-contrast=\"none\">(length)<\/span><span data-contrast=\"none\">2<\/span><span data-contrast=\"none\">\u2008<\/span><span data-contrast=\"none\">+<\/span><span data-contrast=\"none\">\u2008(<\/span><span data-contrast=\"none\">width)<\/span><span data-contrast=\"none\">2<\/span><span data-contrast=\"none\">}<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Where, <\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:0,&quot;335559731&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">length is the length of the longer side and<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:0,&quot;335559731&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">width is the length of the shorter side.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:0,&quot;335559731&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:0,&quot;335559731&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<h2><b><span data-contrast=\"none\">Important Properties of Rectangle Formulas<\/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><b><span data-contrast=\"none\">Perimeter of a rectangle:<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<ul>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"1\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:720,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Symbol&quot;,&quot;469769242&quot;:[8226],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0b7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"1\" data-aria-level=\"1\"><span data-contrast=\"none\">The perimeter of a rectangle is found by adding up the lengths of all its sides. <\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/li>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"1\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:720,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Symbol&quot;,&quot;469769242&quot;:[8226],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0b7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"2\" data-aria-level=\"1\"><span data-contrast=\"none\">Since opposite sides of a rectangle are equal in length, the perimeter formula is simply twice the sum of the length and width. T<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/li>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"1\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:720,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Symbol&quot;,&quot;469769242&quot;:[8226],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0b7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"3\" data-aria-level=\"1\"><span data-contrast=\"none\">This formula is useful in determining the amount of fencing needed to enclose a rectangular area or calculating the distance around a rectangular path.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/li>\n<\/ul>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><b><span data-contrast=\"none\">Area of a rectangle:<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<ul>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"4\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:720,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Symbol&quot;,&quot;469769242&quot;:[8226],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0b7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"1\" data-aria-level=\"1\"><span data-contrast=\"none\">The area of a rectangle represents the measure of the surface enclosed by its sides. <\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/li>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"4\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:720,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Symbol&quot;,&quot;469769242&quot;:[8226],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0b7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"2\" data-aria-level=\"1\"><span data-contrast=\"none\">It is calculated by multiplying the length and width of the rectangle. <\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/li>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"4\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:720,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Symbol&quot;,&quot;469769242&quot;:[8226],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0b7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"3\" data-aria-level=\"1\"><span data-contrast=\"none\">This formula is employed in determining the amount of material required to cover a rectangular surface or finding the area of a rectangular field or room.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/li>\n<\/ul>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><b><span data-contrast=\"none\">Diagonal of a rectangle<\/span><\/b><span data-contrast=\"none\">:<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<ul>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"7\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:720,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Symbol&quot;,&quot;469769242&quot;:[8226],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0b7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"1\" data-aria-level=\"1\"><span data-contrast=\"none\">The diagonal of a rectangle is the line segment that connects two opposite corners of the rectangle. <\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/li>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"7\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:720,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Symbol&quot;,&quot;469769242&quot;:[8226],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0b7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"2\" data-aria-level=\"1\"><span data-contrast=\"none\">It divides the rectangle into two congruent right triangles. <\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/li>\n<\/ul>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<h2><b><span data-contrast=\"none\">Solved Examples on Rectangle formula:<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/h2>\n<p><b><span data-contrast=\"none\">Example 1. Perimeter of a Rectangle <\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Given: Length = 6 cm, Width = 4 cm <\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">To find: Perimeter of the rectangle<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Using the formula: Perimeter = 2(length + width) <\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Perimeter = 2(6 cm + 4 cm) <\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">      = 2 * 10 cm <\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559731&quot;:720,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">          <\/span> <span data-contrast=\"none\">      = 20 cm <\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Therefore, the perimeter of the rectangle is 20 cm.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><b><span data-contrast=\"none\">Example 2. Area of a Rectangle <\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Given: Length = 8 m, Width = 5 m <\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">To find: Area of the rectangle<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Using the formula: Area = length * width <\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Area = 8 m * 5 m <\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Area = 40 <\/span><span data-contrast=\"none\">m<\/span><span data-contrast=\"none\">2<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\"> <\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Therefore, the area of the rectangle is 40 square meters.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<h2><b><span data-contrast=\"none\">Frequently asked questions on Rectangle formula:<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/h2>\n<p><span data-contrast=\"none\">1: What is the difference between length and width in a rectangle?<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Answer: In a rectangle, the length refers to the longer side or base, while the width refers to the shorter side or base. The length is usually greater than the width.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">2: How you find the area of a rectangle?<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Answer: To find the area of a rectangle, you multiply the length of the rectangle by its width. The formula for the area of a rectangle 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\">Area = Length \u00d7 Width<\/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\">For example, if you have a rectangle with a length of 6 units and a width of 4 units, the area would be:<\/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\">Area = 6 units \u00d7 4 units = 24 square 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\">So the area of the rectangle in this case is 24 square 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-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:0,&quot;335559731&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">3: Can a rectangle have sides with fractional or decimal values?<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Answer: Yes, the sides of a rectangle can have fractional or decimal values, depending on the specific measurements involved. The formulas for perimeter, area, and diagonal can handle such values in their calculations.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:0,&quot;335559731&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:0,&quot;335559731&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">4: Can a rectangle have sides with negative values?<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Answer: In mathematics, a rectangle&#8217;s sides are typically considered to have positive values,  representing lengths. Negative lengths are not conventionally used when dealing with <\/span> <span data-contrast=\"none\">geometric shapes.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:0,&quot;335559731&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:0,&quot;335559731&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">5: What if the dimensions of a rectangle are given in different units?<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Answer: If the dimensions of a rectangle are given in different units, it is important to convert them to the same unit before using the formulas. Consistency in units is necessary for accurate calculations.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">6: Can the perimeter or area of a rectangle be zero?<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Answer: No, the perimeter and area of a rectangle cannot be zero. By definition, a rectangle has non-zero sides, and the formulas yield positive values for the perimeter and area.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:0,&quot;335559731&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:0,&quot;335559731&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">7: Can the diagonal of a rectangle be greater than its perimeter?<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Answer: No, the diagonal of a rectangle cannot be greater than its perimeter. The perimeter represents the total length of the sides, while the diagonal is a line segment connecting two opposite corners. In a rectangle, the diagonal is always shorter than the perimeter.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">8: How to Find the Area of a Rectangle Using Diagonal?<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">Answer: The area of a rectangle can be calculated if the diagonal and one of its sides is given. We can find the value of the missing side using the Pythagoras theorem and then find the area. For example, let us find the area of a rectangle in which the diagonal is 10 units and its length is 8 units using the following steps.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\"> Step 1: In this case, we can find the width using the formula, Width = \u23b7[(Diagonal)2 &#8211; (Length)2]<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">Step 2: After substituting the given values, we get, width = \u23b7[(10)2 &#8211; (8)2] = \u23b736 = 6 units<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">Step 3: Now, we know that the length = 8 units, width = 6 cm. So, the area of the rectangle = l \u00d7 w. In this case, Area = 8 \u00d7 6 = 48 unit2<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Introduction to Surface Area of a Rectangle A rectangle is a four-sided polygon with opposite sides that are equal in [&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":"Surface Area of a Rectangle Formula","_yoast_wpseo_title":"Surface Area of a Rectangle Formula with Examples - Infinity learn","_yoast_wpseo_metadesc":"Calculate the surface area of a rectangle using the formula: length x width. 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