{"id":2038,"date":"2022-04-26T04:31:20","date_gmt":"2022-04-26T04:31:20","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=2038"},"modified":"2024-01-23T12:08:41","modified_gmt":"2024-01-23T12:08:41","slug":"perimeter-of-a-polygon-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/perimeter-of-a-polygon","title":{"rendered":"Perimeter of a Polygon: Definition, Formula, Examples, Facts, FAQs"},"content":{"rendered":"\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\"><div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-58bd3dbc-9cef-406b-856d-1639e92a8bbe\" data-initiallyhideonmobile=\"false\"\n                    data-initiallyshow=\"true\"><div class=\"ub_table-of-contents-extra-container\"><div class=\"ub_table-of-contents-container ub_table-of-contents-1-column \"><ul><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/perimeter-of-a-polygon#0-what-is-the-perimeter-of-a-polygon>What Is the Perimeter of a Polygon?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/perimeter-of-a-polygon#1-perimeter-of-a-polygon-formula>Perimeter of a Polygon Formula<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/perimeter-of-a-polygon#2-difference-between-area-and-perimeter-of-a-polygon>Difference between Area and Perimeter of a Polygon<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/perimeter-of-a-polygon#10-solved-examples-on-perimeter-of-a-polygon>Solved Examples on Perimeter of a Polygon<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/perimeter-of-a-polygon#11-practice-problems-on-perimeter-of-a-polygon>Practice Problems on Perimeter of a Polygon<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/perimeter-of-a-polygon#12-frequently-asked-questions-on-perimeter-of-a-polygon>Frequently Asked Questions on Perimeter of a Polygon<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-is-the-perimeter-of-a-polygon\">What Is the Perimeter of a Polygon?<\/h2>\n\n\n\n<p><strong>The total distance of the boundary of a <\/strong><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/polygon\"><strong>polygon<\/strong><\/a><strong> is known as the <\/strong><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/perimeter\"><strong>perimeter<\/strong><\/a><strong> of a polygon. It is the sum of all the sides of a polygon.&nbsp;<\/strong><\/p>\n\n\n\n<p><strong>Meaning of Perimeter<\/strong><\/p>\n\n\n\n<p>In geometry, the perimeter of any <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/2-dimensional\">2D shape<\/a> or figure is defined as the total length of its boundary. The perimeter of a 2D shape is calculated by adding the length of all the sides or the edges enclosing the shape. It is measured in linear units of measurement like inches, feet, meters, centimeters, etc.<\/p>\n\n\n\n<p><strong>Polygon<\/strong><\/p>\n\n\n\n<p>In geometry, a polygon can be defined as a plane flat, two-dimensional <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/closed-shape\">closed shape<\/a> which is bounded with straight sides. If any side is curved, it is not a polygon. The points where two sides meet are the vertices (or corners) of a polygon.&nbsp;<\/p>\n\n\n\n<p><strong>Examples of a polygon:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"356\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/examples-of-a-polygon.png\" alt=\"Examples of a polygon\" class=\"wp-image-37656\" title=\"Examples of a polygon\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/examples-of-a-polygon.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/examples-of-a-polygon-300x172.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>There are two types of polygons.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/regular-polygon\"><strong>Regular Polygons<\/strong><\/a>: A polygon that has equal sides as well as equal interior angles is known as a regular polygon. Examples: equilateral triangle, square.<\/li>\n\n\n\n<li><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/irregular-polygons\"><strong>Irregular Polygons<\/strong><\/a>: A polygon that is neither equilateral nor equiangular is known as an irregular polygon. Examples: <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/rectangle\">rectangle<\/a>, <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/scalene-triangle\">scalene triangle<\/a>.<\/li>\n<\/ul>\n\n\n\n<p><\/p>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/determine-the-perimeter\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_peri_with_missing_side_2_pt.png\" alt=\"Determine the Perimeter Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Determine the Perimeter Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/determine-the-perimeter-of-regular-shapes\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_peri_with_missing_side_1_pt.png\" alt=\"Determine the Perimeter of Regular Shapes Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Determine the Perimeter of Regular Shapes Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/find-perimeter-of-irregular-shapes\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_monsters_in_city_6_gm.png\" alt=\"Find Perimeter of Irregular Shapes Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Find Perimeter of Irregular Shapes Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/find-perimeter-of-regular-shapes\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_monsters_in_city_7_gm.png\" alt=\"Find Perimeter of Regular Shapes Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Find Perimeter of Regular Shapes Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/find-perimeter-using-side-lengths\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_monsters_in_city_5_gm.png\" alt=\"Find Perimeter using side lengths Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Find Perimeter using side lengths Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/find-the-perimeter-of-irregular-shapes\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_peri_irregular_pt.png\" alt=\"Find the Perimeter of Irregular Shapes Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Find the Perimeter of Irregular Shapes Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/find-the-perimeter-of-polygons\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_peri_rectangle_1_pt.png\" alt=\"FInd the Perimeter of Polygons Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">FInd the Perimeter of Polygons Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/find-the-perimeter-of-regular-shapes\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_peri_regular_pt.png\" alt=\"Find the Perimeter of Regular Shapes Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Find the Perimeter of Regular Shapes Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/find-the-perimeter-of-the-quadrilaterals\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_peri_rectangle_3_pt.png\" alt=\"Find the Perimeter of the Quadrilaterals Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Find the Perimeter of the Quadrilaterals Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/find-the-perimeter-of-the-shapes-using-grids\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_peri_unit_length_pt.png\" alt=\"Find the Perimeter of the Shapes Using Grids Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Find the Perimeter of the Shapes Using Grids Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".game-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading\" id=\"1-perimeter-of-a-polygon-formula\">Perimeter of a Polygon Formula<\/h2>\n\n\n\n<p>Perimeter of a polygon is the total length of all sides of a polygon. .<\/p>\n\n\n\n<div style=\"color:#0369a1;background-color:#e0f2fe\" class=\"wp-block-roelmagdaleno-callout-block has-text-color has-background is-layout-flex wp-container-roelmagdaleno-callout-block-is-layout-8cf370e7 wp-block-roelmagdaleno-callout-block-is-layout-flex\"><div>\n<p><strong>Perimeter of a Polygon $=$ Sum of all sides<\/strong><\/p>\n<\/div><\/div>\n\n\n\n<p>So, how can we find the perimeter of a polygon? First ensure that all the side-lengths have the same unit. If the lengths of sides are given in different units, then first convert them to the same unit. Finally, add lengths of all sides to find the perimeter.&nbsp;<\/p>\n\n\n\n<p>Let\u2019s look at an example to understand.<\/p>\n\n\n\n<p><strong>Example:<\/strong> In the given regular <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/pentagon\">pentagon<\/a>, the length of each side is 3 units. Its perimeter is calculated by adding the length of all sides.<\/p>\n\n\n\n<p>Perimeter $= 3 + 3 + 3 + 3 + 3 = 15$ units<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"413\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/perimeter-of-a-polygon-example.png\" alt=\"Perimeter of a polygon example\" class=\"wp-image-37657\" title=\"Perimeter of a polygon example\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/perimeter-of-a-polygon-example.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/perimeter-of-a-polygon-example-300x200.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"2-difference-between-area-and-perimeter-of-a-polygon\">Difference between Area and Perimeter of a Polygon<\/h2>\n\n\n\n<figure class=\"wp-block-table wj-custom-table\"><table class=\"wj-table-class\"><thead><tr><th class=\"has-text-align-left\" data-align=\"left\"><strong>Area of a Polygon<\/strong><\/th><th><strong>Perimeter of a Polygon<\/strong><\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-left\" data-align=\"left\">Area of a polygon is the region bounded within the sides of the polygon.<\/td><td>Perimeter of a polygon is the total length of its boundary.<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Formula for the area of a polygon is different for different polygons.<em>Examples:<\/em>Area of a square $= (Side)^{2}$Area of a rectangle $= $length $\\times$ width<\/td><td>We can give the generalized formula to find the perimeter of a polygon as:<br>Perimeter of a polygon $=$ Sum of all sides&nbsp;<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">The area of polygons is expressed in square units like $in^{2},\\; ft^{2},\\; m^{2},\\; cm^{2}$, etc.<\/td><td>The perimeter is expressed in linear units like in, ft, m, cm, etc.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>The diagram illustrates the difference between the area and perimeter of a rectangle.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"307\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/area-vs-perimeter-of-a-polygon-rectangle.png\" alt=\"Area vs. perimeter of a polygon (rectangle)\" class=\"wp-image-37658\" title=\"Area vs. perimeter of a polygon (rectangle)\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/area-vs-perimeter-of-a-polygon-rectangle.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/area-vs-perimeter-of-a-polygon-rectangle-300x149.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-perimeter-of-regular-polygons\">Perimeter of Regular Polygons<\/h2>\n\n\n\n<p>In regular polygons, the length of each side is the same. To find the perimeter, we simply multiply the side-length by the number of sides.<\/p>\n\n\n\n<p>Perimeter of regular polygon $=$ (number of sides of regular polygon) $\u00d7$ (length of one side)<\/p>\n\n\n\n<p><strong>Example 1:<\/strong><strong> <\/strong>Find the perimeter of a regular hexagon whose each side is 7 feet long.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"433\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/a-regular-hexagon.png\" alt=\"A regular hexagon\" class=\"wp-image-37659\" title=\"A regular hexagon\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/a-regular-hexagon.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/a-regular-hexagon-300x210.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>Length of one side $= 7$ feet&nbsp;<\/p>\n\n\n\n<p>Number of sides $= 6$ (as it is a hexagon).<\/p>\n\n\n\n<p>Perimeter $=$ (number of sides) $\\times$ (length of one side)&nbsp;<\/p>\n\n\n\n<p>Perimeter $= 6 \\times (7\\; feet)$<\/p>\n\n\n\n<p>Perimeter $= 42$ feet<br><\/p>\n\n\n\n<p><strong>Example 2:<\/strong> Each side of a pentagon equals to 6 inches. Find the perimeter of the pentagon.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"374\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/a-regular-pentagon.png\" alt=\"A regular pentagon\" class=\"wp-image-37660\" title=\"A regular pentagon\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/a-regular-pentagon.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/a-regular-pentagon-300x181.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>All the sides of the pentagon are equal. Therefore, it is a regular polygon.<\/p>\n\n\n\n<p>The perimeter of a regular polygon $=$ (length of one side) $\\times$ number of sides<\/p>\n\n\n\n<p>Perimeter of a regular pentagon $= 6\\; cm \\times 5 = 30$ cm<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-perimeter-formulas-of-some-common-regular-polygons\">Perimeter Formulas of Some Common Regular Polygons<\/h2>\n\n\n\n<figure class=\"wp-block-table wj-custom-table\"><table class=\"wj-table-class\"><thead><tr><th class=\"has-text-align-left\" data-align=\"left\"><strong>Regular Polygons<\/strong><\/th><th class=\"has-text-align-left\" data-align=\"left\"><strong>Perimeter of Regular Polygon<\/strong><\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-left\" data-align=\"left\">Equilateral Triangle<\/td><td class=\"has-text-align-left\" data-align=\"left\">$3 \\times$ (Length of one side)<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Square<\/td><td class=\"has-text-align-left\" data-align=\"left\">$4 \\times$ (Length of one side)<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Regular Pentagon<\/td><td class=\"has-text-align-left\" data-align=\"left\">$5 \\times$ (Length of one side)<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Regular Hexagon<\/td><td class=\"has-text-align-left\" data-align=\"left\">$6 \\times$ (Length of one side)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-perimeter-of-irregular-polygons\">Perimeter of Irregular Polygons<\/h2>\n\n\n\n<p>To calculate the perimeter of irregular polygons, we just add the lengths of all sides of the polygon.<\/p>\n\n\n\n<p><strong>Example 1: <\/strong>Find the perimeter of the given polygon.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"619\" height=\"466\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/an-irregular-polygon.png\" alt=\"An irregular polygon\" class=\"wp-image-37661\" title=\"An irregular polygon\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/an-irregular-polygon.png 619w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/an-irregular-polygon-300x226.png 300w\" sizes=\"auto, (max-width: 619px) 100vw, 619px\" \/><\/figure>\n\n\n\n<p><strong>Solution: <\/strong>As we can see that the given polygon is an irregular polygon since the length of each side is different.&nbsp;<\/p>\n\n\n\n<p>$AB = 7$ feet, $BC = 9$ feet, $CD = 6$ feet, and $AD = 5$ feet<\/p>\n\n\n\n<p>The perimeter of $ABCD = AB + BC + CD + AD$&nbsp;<\/p>\n\n\n\n<p>$\\Rightarrow$ Perimeter of $ABCD = (7 + 9 + 6 + 5) = 27$ feet<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-perimeter-formulas-of-common-irregular-polygons\">Perimeter Formulas of Common Irregular Polygons<\/h2>\n\n\n\n<p>Let\u2019s discuss some important formulas.<\/p>\n\n\n\n<p><strong>Perimeter of a Rectangle<\/strong><\/p>\n\n\n\n<p>Perimeter of a rectangle $= 2 \\times (l + b)$<\/p>\n\n\n\n<p>Perimeter of a rectangle $= 2l + 2b$<\/p>\n\n\n\n<p>where l is the length and b is the breadth&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"619\" height=\"531\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/perimeter-of-a-rectangle.png\" alt=\"Perimeter of a rectangle\" class=\"wp-image-37662\" title=\"Perimeter of a rectangle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/perimeter-of-a-rectangle.png 619w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/perimeter-of-a-rectangle-300x257.png 300w\" sizes=\"auto, (max-width: 619px) 100vw, 619px\" \/><\/figure>\n\n\n\n<p><strong>Perimeter of a Parallelogram<\/strong><\/p>\n\n\n\n<p>Perimeter of a parallelogram $= 2 \\times$ (sum of parallel sides)&nbsp;<\/p>\n\n\n\n<p>Perimeter of a parallelogram $= 2(a + b)$<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"619\" height=\"531\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/perimeter-of-a-rectangle.png\" alt=\"Perimeter of a rectangle\" class=\"wp-image-37662\" title=\"Perimeter of a parallelogram\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/perimeter-of-a-rectangle.png 619w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/perimeter-of-a-rectangle-300x257.png 300w\" sizes=\"auto, (max-width: 619px) 100vw, 619px\" \/><\/figure>\n\n\n\n<p><strong>Perimeter of a Rhombus<\/strong><\/p>\n\n\n\n<p>All four sides of a rhombus have the same length.<\/p>\n\n\n\n<p>Perimeter of Rhombus $= 4 \\times$ (length of one side)<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"363\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/perimeter-of-a-rhombus.png\" alt=\"Perimeter of a rhombus\" class=\"wp-image-37663\" title=\"Perimeter of a rhombus\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/perimeter-of-a-rhombus.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/perimeter-of-a-rhombus-300x176.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-perimeter-of-polygon-using-coordinates-of-vertices\">Perimeter of Polygon Using Coordinates of Vertices<\/h2>\n\n\n\n<p>The perimeter of a polygon can be found if the coordinates of the vertices are given using the following steps:<\/p>\n\n\n\n<p>Suppose we have to find the perimeter of the polygon ABCD with coordinates A(0, 0), B(0, 4), C(4, 4), and D(4, 0).<br><\/p>\n\n\n\n<p><strong>Step 1:<\/strong> Find the lengths of sides using distance formula.&nbsp;<\/p>\n\n\n\n<p>$D = \\sqrt{(x_{2}\\;-\\;x_{1})^{2} + (y_{2}\\;-\\;y_{1})^{2}}$<\/p>\n\n\n\n<p>Here,&nbsp;<\/p>\n\n\n\n<p>$AB = \\sqrt{(0\\;-\\;0)^{2} + (4\\;-\\;0)^{2}} = \\sqrt{16} = 4$ units<\/p>\n\n\n\n<p>$BC = \\sqrt{(4\\;-\\;0)^{2} + (4\\;-\\;4)^{2}} = \\sqrt{16} = 4$ units<\/p>\n\n\n\n<p>$CD = \\sqrt{(4\\;-\\;4)^{2} + (0\\;-\\;4)^{2}} = \\sqrt{16} = 4$ units<\/p>\n\n\n\n<p>$AD = \\sqrt{(4\\;-\\;0)^{2} + (0\\;-\\;0)^{2}} = 16 = 4$ units<\/p>\n\n\n\n<p><strong>Step 2:<\/strong> Identify the type of the polygon (regular or irregular) based on the dimensions. Find the perimeter based on the type of the polygon.<\/p>\n\n\n\n<p>In this example, $AB = BC = CD = AD = 4$ units<\/p>\n\n\n\n<p>So, it is a regular polygon.<\/p>\n\n\n\n<p>Perimeter of the polygon $= 4 \\times 4 = 16$ units<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-facts-about-perimeter-of-a-polygon\">Facts about Perimeter of a Polygon<\/h2>\n\n\n\n<div style=\"color:#0369a1;background-color:#e0f2fe\" class=\"wp-block-roelmagdaleno-callout-block has-text-color has-background is-layout-flex wp-container-roelmagdaleno-callout-block-is-layout-8cf370e7 wp-block-roelmagdaleno-callout-block-is-layout-flex\"><div>\n<ul class=\"wp-block-list\">\n<li>A circle is not a polygon because it is not made of straight lines. The perimeter of a circle is usually called the circumference.<\/li>\n\n\n\n<li>The smallest polygon that can be formed is a triangle.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-conclusion\">Conclusion<\/h2>\n\n\n\n<p>In this article, we learned about the perimeter of a polygon and formulas to find the perimeter of regular and irregular polygons. Let\u2019s solve a few examples and practice problems based on these concepts.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"10-solved-examples-on-perimeter-of-a-polygon\">Solved Examples on Perimeter of a Polygon<\/h2>\n\n\n\n<p><strong>1. What is the perimeter of the polygon in the diagram?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"146\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/triangle-pqr-with-side-lengths-4-ft-8-ft-6-ft.png\" alt=\"Triangle PQR with side lengths 4 ft, 8 ft, 6 ft\" class=\"wp-image-37664\" title=\"Triangle PQR with side lengths 4 ft, 8 ft, 6 ft\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong>&nbsp;<\/p>\n\n\n\n<p>All the sides of PQR are of different lengths. It is an irregular polygon.<\/p>\n\n\n\n<p>The perimeter is the total length of its boundary.<\/p>\n\n\n\n<p>We will find its perimeter by adding the lengths of three sides.<\/p>\n\n\n\n<p>Perimeter of $PQR = PQ + QR + PR$<\/p>\n\n\n\n<p>Perimeter of $PQR = 5 + 10 + 8 = 23$ feet<\/p>\n\n\n\n<p><strong>2. What will be the perimeter of a rectangle whose length is 14 inches and breadth is 5 inches?<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>Length of the rectangle, i.e., $l = 14$ inches<\/p>\n\n\n\n<p>Breadth of the rectangle, i.e., $b = 5$ inches<\/p>\n\n\n\n<p>Perimeter of the rectangle $= 2(l + b) = 2(14 + 5) = 2 \\times 19 = 38$ inches<\/p>\n\n\n\n<p><strong>3. What will be the perimeter of a regular nonagon whose side is 8 feet each?<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Number of sides of a regular nonagon $= 9$<\/p>\n\n\n\n<p>Measure of each side $= 8$ feet<\/p>\n\n\n\n<p>Perimeter a regular polygon $=$ (number of sides) $\\times$ (measure of each side)<\/p>\n\n\n\n<p>Perimeter of a regular nonagon $= 9 \\times 8 = 72$ feet<\/p>\n\n\n\n<p><strong>4. Find the missing length CD of the given polygon if the perimeter of the polygon is 34 units.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"231\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/finding-perimeter-of-an-irregular-polygon.png\" alt=\"Finding perimeter of an irregular polygon\" class=\"wp-image-37665\" title=\"Finding perimeter of an irregular polygon\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong>&nbsp;<\/p>\n\n\n\n<p>$GF = BC \u2013 (AH + DE) = 9 \u2013 (4 + 3) = 9 \u2013 7 = 2$ units<\/p>\n\n\n\n<p>Perimeter of the polygon $ABCDEFGH = AB + BC + CD + DE + EF + FG + GH + AH$<\/p>\n\n\n\n<p>$34 = 5 + 9 + CD + 3 + 3 + 2 + 2 + 4$<\/p>\n\n\n\n<p>$34 = 28 + CD$<\/p>\n\n\n\n<p>$CD = 34 \u2013 28 = 6$ units<\/p>\n\n\n\n<p><strong>5. Find the perimeter of a square if the area of square is 49 <\/strong><strong>in<\/strong><strong>2<\/strong><strong>.<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong>&nbsp;<\/p>\n\n\n\n<p>Area of square $= 49\\; in^{2}$<\/p>\n\n\n\n<p>$side \\times side = 49$<\/p>\n\n\n\n<p>side of square $= 7$ inches<\/p>\n\n\n\n<p>Perimeter of square $= 4 \\times side = 4 \\times 7 = 28$ inches<\/p>\n\n\n\n<p><strong>6. If the coordinates of a 2D shape is A(2, 5), B(8, 5), C(8, 3), D(2, 3), then which polygon will be formed? Also find the perimeter of the polygon.<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>$AB = \\sqrt{(8\\;-\\;2)^{2} + (5\\;-\\;5)^{2}} = \\sqrt{36} = 6$ units<\/p>\n\n\n\n<p>$BC = (8\\;-\\;8)^{2} + (3\\;-\\;5)^{2} = \\sqrt{4} = 2$ units<\/p>\n\n\n\n<p>$CD = (2\\;-\\;8)^{2} + (3\\;-\\;3)^{2} = \\sqrt{36} = 6$ units<\/p>\n\n\n\n<p>$AD = (2\\;-\\;2)^{2} + (5\\;-\\;3)^{2} = \\sqrt{4} = 2$ units<\/p>\n\n\n\n<p>Since $AB = CD$ and $BC = AD, ABCD$ is either a rectangle or a parallelogram.<\/p>\n\n\n\n<p>Perimeter of the polygon $= 2(AB + BC) = 2(6 + 2) = 16$ units<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"11-practice-problems-on-perimeter-of-a-polygon\">Practice Problems on Perimeter of a Polygon<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">Perimeter of a Polygon: Definition, Formula, Examples, Facts, FAQs<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">If the perimeter of an equilateral triangle is 27 units, then the side will be:<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">3 unit<\/div><div class=\"spq_answer_block\" data-value=\"1\">9 unit<\/div><div class=\"spq_answer_block\" data-value=\"2\">12 unit<\/div><div class=\"spq_answer_block\" data-value=\"3\">18 unit<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 9 unit<br\/>Perimeter of an equilateral triangle $= 27$ units<br>\r\n$3 \\times$ side $= 27$ units<br>\r\nside $= 27 \\div 3 = 9$ units<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">Find the perimeter of a regular hexagon if the length of each side is 18 feet.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">3 feet<\/div><div class=\"spq_answer_block\" data-value=\"1\">24 feet<\/div><div class=\"spq_answer_block\" data-value=\"2\">92 feet<\/div><div class=\"spq_answer_block\" data-value=\"3\">108 feet<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 108 feet<br\/>The length of each side $= 18$ feet<br>\r\nPerimeter of a regular hexagon $= 6 \\times 18 = 108$ feet<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">If the perimeter of a square is 72 yards, then the area of the square will be ____ cm.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$324\\; yd^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$1296\\; yd^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$2304\\; yd^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$5184\\; yd^{2}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $324\\; yd^{2}$<br\/>Perimeter of a square $= 72$ cm<br>\r\n$\\Rightarrow 4 \\times side = 72\\; cm \\Rightarrow side = 18$ cm<br>\r\nArea of a square $= side \\times side = 18 \\times 18 = 324 cm^{2}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">Find the perimeter of the following polygon.<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/06\/problem-on-perimeter-of-an-irregular-polygon.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">24 inches<\/div><div class=\"spq_answer_block\" data-value=\"1\">28 inches<\/div><div class=\"spq_answer_block\" data-value=\"2\">32 inches<\/div><div class=\"spq_answer_block\" data-value=\"3\">40 inches<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 32 inches<br\/>Perimeter of the polygon $= 6 + 5 + 8 + 3 + 1 + 4 + 2 + 3 = 32$ inches<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">Find the missing side \ud835\udc65 of the following figure if the perimeter of the polygon is 40 units. <\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/finding-missing-side-of-an-irregular-polygon-using-perimeter.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">8 units<\/div><div class=\"spq_answer_block\" data-value=\"1\">9 units<\/div><div class=\"spq_answer_block\" data-value=\"2\">10 units<\/div><div class=\"spq_answer_block\" data-value=\"3\">11 units<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 9 units<br\/>Perimeter of the polygon $= 12 + \ud835\udc65 + 8 + 5 + 6$<br>\r\n$40 = 12 + \ud835\udc65 + 8 + 5 + 6$<br>\r\n$40 = 31 + \ud835\udc65  \ud835\udc65 = 40 \u2013 31 = 9$ units<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">6<\/span><h3 class=\"sqp_question_text\">If the perimeter of a square is equal to the area of a square, then the side of the square is _________.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">2 units<\/div><div class=\"spq_answer_block\" data-value=\"1\">4 units<\/div><div class=\"spq_answer_block\" data-value=\"2\">6 units<\/div><div class=\"spq_answer_block\" data-value=\"3\">8 units<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 4 units<br\/>Perimeter of a square $=  4 \\times side$<br>\r\nArea of square $= side \\times side$<br>\r\n$4 \\times side = side \\times side$<br>\r\nside $= 4$ units<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        \"educationalLevel\":  \"beginner\",\n        \"assesses\" : \"Attend this quiz & Test your knowledge.\",\n        \"educationalAlignment\": [\n              {\n                \"@type\": \"AlignmentObject\",\n                \"alignmentType\": \"educationalSubject\",\n                \"targetName\": \"Math\"\n              }] ,\n        \"name\": \"Perimeter of a Polygon: Definition, Formula, Examples, Facts, FAQs\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Perimeter of a Polygon\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice 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 \"text\": \"Perimeter of an equilateral triangle $$= 27$$ units<br>\r\n$$3 \\\\times$$ side $$= 27$$ units<br>\r\nside $$= 27 \\\\div 3 = 9$$ units\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"12 unit\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perimeter of an equilateral triangle $$= 27$$ units<br>\r\n$$3 \\\\times$$ side $$= 27$$ units<br>\r\nside $$= 27 \\\\div 3 = 9$$ units\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"18 unit\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perimeter of an equilateral triangle $$= 27$$ units<br>\r\n$$3 \\\\times$$ side $$= 27$$ units<br>\r\nside $$= 27 \\\\div 3 = 9$$ units\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"9 unit\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Perimeter of an equilateral triangle $$= 27$$ units<br>\r\n$$3 \\\\times$$ side $$= 27$$ units<br>\r\nside $$= 27 \\\\div 3 = 9$$ units\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Perimeter of an equilateral triangle $$= 27$$ units<br>\r\n$$3 \\\\times$$ side $$= 27$$ units<br>\r\nside $$= 27 \\\\div 3 = 9$$ units\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Find the perimeter of a regular hexagon if the length of each side is 18 feet.\",\n                    \"text\": \"Find the perimeter of a regular hexagon if the length of each side is 18 feet.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The length of each side $$= 18$$ feet<br>\r\nPerimeter of a regular hexagon $$= 6 \\\\times 18 = 108$$ feet\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"3 feet\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The length of each side $$= 18$$ feet<br>\r\nPerimeter of a regular hexagon $$= 6 \\\\times 18 = 108$$ feet\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"24 feet\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The length of each side $$= 18$$ feet<br>\r\nPerimeter of a regular hexagon $$= 6 \\\\times 18 = 108$$ feet\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"92 feet\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The length of each side $$= 18$$ feet<br>\r\nPerimeter of a regular hexagon $$= 6 \\\\times 18 = 108$$ feet\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"108 feet\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The length of each side $$= 18$$ feet<br>\r\nPerimeter of a regular hexagon $$= 6 \\\\times 18 = 108$$ feet\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The length of each side $$= 18$$ feet<br>\r\nPerimeter of a regular hexagon $$= 6 \\\\times 18 = 108$$ feet\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"If the perimeter of a square is 72 yards, then the area of the square will be ____ cm.\",\n                    \"text\": \"If the perimeter of a square is 72 yards, then the area of the square will be ____ cm.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Perimeter of a square $$= 72$$ cm<br>\r\n$$\\\\Rightarrow 4 \\\\times side = 72\\\\; cm \\\\Rightarrow side = 18$$ cm<br>\r\nArea of a square $$= side \\\\times side = 18 \\\\times 18 = 324 cm^{2}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$1296\\\\; yd^{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perimeter of a square $$= 72$$ cm<br>\r\n$$\\\\Rightarrow 4 \\\\times side = 72\\\\; cm \\\\Rightarrow side = 18$$ cm<br>\r\nArea of a square $$= side \\\\times side = 18 \\\\times 18 = 324 cm^{2}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$2304\\\\; yd^{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perimeter of a square $$= 72$$ cm<br>\r\n$$\\\\Rightarrow 4 \\\\times side = 72\\\\; cm \\\\Rightarrow side = 18$$ cm<br>\r\nArea of a square $$= side \\\\times side = 18 \\\\times 18 = 324 cm^{2}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$5184\\\\; yd^{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perimeter of a square $$= 72$$ cm<br>\r\n$$\\\\Rightarrow 4 \\\\times side = 72\\\\; cm \\\\Rightarrow side = 18$$ cm<br>\r\nArea of a square $$= side \\\\times side = 18 \\\\times 18 = 324 cm^{2}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$324\\\\; yd^{2}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Perimeter of a square $$= 72$$ cm<br>\r\n$$\\\\Rightarrow 4 \\\\times side = 72\\\\; cm \\\\Rightarrow side = 18$$ cm<br>\r\nArea of a square $$= side \\\\times side = 18 \\\\times 18 = 324 cm^{2}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Perimeter of a square $$= 72$$ cm<br>\r\n$$\\\\Rightarrow 4 \\\\times side = 72\\\\; cm \\\\Rightarrow side = 18$$ cm<br>\r\nArea of a square $$= side \\\\times side = 18 \\\\times 18 = 324 cm^{2}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Find the perimeter of the following polygon.\",\n                    \"text\": \"Find the perimeter of the following polygon. <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/06\/problem-on-perimeter-of-an-irregular-polygon.png\\\"\/>\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Perimeter of the polygon $$= 6 + 5 + 8 + 3 + 1 + 4 + 2 + 3 = 32$$ inches\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"24 inches\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perimeter of the polygon $$= 6 + 5 + 8 + 3 + 1 + 4 + 2 + 3 = 32$$ inches\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"28 inches\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perimeter of the polygon $$= 6 + 5 + 8 + 3 + 1 + 4 + 2 + 3 = 32$$ inches\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"40 inches\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perimeter of the polygon $$= 6 + 5 + 8 + 3 + 1 + 4 + 2 + 3 = 32$$ inches\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"32 inches\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Perimeter of the polygon $$= 6 + 5 + 8 + 3 + 1 + 4 + 2 + 3 = 32$$ inches\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Perimeter of the polygon $$= 6 + 5 + 8 + 3 + 1 + 4 + 2 + 3 = 32$$ inches\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Find the missing side \ud835\udc65 of the following figure if the perimeter of the polygon is 40 units. \",\n                    \"text\": \"Find the missing side \ud835\udc65 of the following figure if the perimeter of the polygon is 40 units.  <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/finding-missing-side-of-an-irregular-polygon-using-perimeter.png\\\"\/>\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Perimeter of the polygon $$= 12 + \ud835\udc65 + 8 + 5 + 6$$<br>\r\n$$40 = 12 + \ud835\udc65 + 8 + 5 + 6$$<br>\r\n$$40 = 31 + \ud835\udc65  \ud835\udc65 = 40 \u2013 31 = 9$$ units\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"8 units\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perimeter of the polygon $$= 12 + \ud835\udc65 + 8 + 5 + 6$$<br>\r\n$$40 = 12 + \ud835\udc65 + 8 + 5 + 6$$<br>\r\n$$40 = 31 + \ud835\udc65  \ud835\udc65 = 40 \u2013 31 = 9$$ units\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"10 units\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perimeter of the polygon $$= 12 + \ud835\udc65 + 8 + 5 + 6$$<br>\r\n$$40 = 12 + \ud835\udc65 + 8 + 5 + 6$$<br>\r\n$$40 = 31 + \ud835\udc65  \ud835\udc65 = 40 \u2013 31 = 9$$ units\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"11 units\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perimeter of the polygon $$= 12 + \ud835\udc65 + 8 + 5 + 6$$<br>\r\n$$40 = 12 + \ud835\udc65 + 8 + 5 + 6$$<br>\r\n$$40 = 31 + \ud835\udc65  \ud835\udc65 = 40 \u2013 31 = 9$$ units\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"9 units\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Perimeter of the polygon $$= 12 + \ud835\udc65 + 8 + 5 + 6$$<br>\r\n$$40 = 12 + \ud835\udc65 + 8 + 5 + 6$$<br>\r\n$$40 = 31 + \ud835\udc65  \ud835\udc65 = 40 \u2013 31 = 9$$ units\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Perimeter of the polygon $$= 12 + \ud835\udc65 + 8 + 5 + 6$$<br>\r\n$$40 = 12 + \ud835\udc65 + 8 + 5 + 6$$<br>\r\n$$40 = 31 + \ud835\udc65  \ud835\udc65 = 40 \u2013 31 = 9$$ units\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"If the perimeter of a square is equal to the area of a square, then the side of the square is _________.\",\n                    \"text\": \"If the perimeter of a square is equal to the area of a square, then the side of the square is _________.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Perimeter of a square $$=  4 \\\\times side$$<br>\r\nArea of square $$= side \\\\times side$$<br>\r\n$$4 \\\\times side = side \\\\times side$$<br>\r\nside $$= 4$$ units\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"2 units\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perimeter of a square $$=  4 \\\\times side$$<br>\r\nArea of square $$= side \\\\times side$$<br>\r\n$$4 \\\\times side = side \\\\times side$$<br>\r\nside $$= 4$$ units\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"6 units\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perimeter of a square $$=  4 \\\\times side$$<br>\r\nArea of square $$= side \\\\times side$$<br>\r\n$$4 \\\\times side = side \\\\times side$$<br>\r\nside $$= 4$$ units\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"8 units\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perimeter of a square $$=  4 \\\\times side$$<br>\r\nArea of square $$= side \\\\times side$$<br>\r\n$$4 \\\\times side = side \\\\times side$$<br>\r\nside $$= 4$$ units\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"4 units\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Perimeter of a square $$=  4 \\\\times side$$<br>\r\nArea of square $$= side \\\\times side$$<br>\r\n$$4 \\\\times side = side \\\\times side$$<br>\r\nside $$= 4$$ units\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Perimeter of a square $$=  4 \\\\times side$$<br>\r\nArea of square $$= side \\\\times side$$<br>\r\n$$4 \\\\times side = side \\\\times side$$<br>\r\nside $$= 4$$ units\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"12-frequently-asked-questions-on-perimeter-of-a-polygon\">Frequently Asked Questions on Perimeter of a Polygon<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-3c956acc-8bd2-414a-8ac2-cc3b8bf7349c\" data-mobilecollapse=\"true\" data-desktopcollapse=\"true\">\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-0-3c956acc-8bd2-414a-8ac2-cc3b8bf7349c\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-3c956acc-8bd2-414a-8ac2-cc3b8bf7349c\"><strong>The perimeter of a regular polygon is directly proportional to the length of its side. True or False?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-3c956acc-8bd2-414a-8ac2-cc3b8bf7349c\">\n\n<p>True. The perimeter of a regular polygon is directly proportional to the length of its side. Perimeter of a regular polygon $=$ (number of sides) $\\times$ (length of one side). Thus, if the length of the side is increased or decreased, the value of the perimeter also increases or decreases.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-1-3c956acc-8bd2-414a-8ac2-cc3b8bf7349c\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-3c956acc-8bd2-414a-8ac2-cc3b8bf7349c\"><strong>What is the formula to calculate the perimeter of an isosceles triangle?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-3c956acc-8bd2-414a-8ac2-cc3b8bf7349c\">\n\n<p>An isosceles triangle has two sides equal. If two equal sides are of measure l and the base is b, then perimeter of the isosceles triangle $= l + l + b = 2l + b$.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-2-3c956acc-8bd2-414a-8ac2-cc3b8bf7349c\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-3c956acc-8bd2-414a-8ac2-cc3b8bf7349c\"><strong>Can the perimeter of a square be greater than its area?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-2-3c956acc-8bd2-414a-8ac2-cc3b8bf7349c\">\n\n<p>The area of a square is given by $(side)^{2}$. Its perimeter is given by 4(side). Thus, for a square, the area is always greater than the perimeter.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-3-3c956acc-8bd2-414a-8ac2-cc3b8bf7349c\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-3c956acc-8bd2-414a-8ac2-cc3b8bf7349c\"><strong>Are the perimeters of a regular polygon always even?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-3-3c956acc-8bd2-414a-8ac2-cc3b8bf7349c\">\n\n<p>No, the perimeter of a regular polygon can be odd as well as even. The perimeter of a regular polygon with an even number of sides will always be even. The perimeter of a regular polygon with an odd number of sides can be odd or even depending on the length of the side.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-4-3c956acc-8bd2-414a-8ac2-cc3b8bf7349c\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-3c956acc-8bd2-414a-8ac2-cc3b8bf7349c\"><strong>How do you find the perimeter of a regular polygon with n sides?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-4-3c956acc-8bd2-414a-8ac2-cc3b8bf7349c\">\n\n<p>Multiply the length of one side by n. Perimeter $= n \\times$ (length of a side).<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-5-3c956acc-8bd2-414a-8ac2-cc3b8bf7349c\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-3c956acc-8bd2-414a-8ac2-cc3b8bf7349c\"><strong>How to find the perimeter of a polygon?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-5-3c956acc-8bd2-414a-8ac2-cc3b8bf7349c\">\n\n<p>Add all the sides of the polygon to find its perimeter.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>What Is the Perimeter of a Polygon? The total distance of the boundary of a polygon is known as the perimeter of a polygon. It is the sum of all the sides of a polygon.&nbsp; Meaning of Perimeter In geometry, the perimeter of any 2D shape or figure is defined as the total length of &#8230; <a title=\"Perimeter of a Polygon: Definition, Formula, Examples, Facts, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/perimeter-of-a-polygon\" aria-label=\"More on Perimeter of a Polygon: Definition, Formula, Examples, Facts, FAQs\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-2038","post","type-post","status-publish","format-standard","hentry","category-all"],"featured_image_src":null,"author_info":{"display_name":"Mithun Jhawar","author_link":"https:\/\/www.splashlearn.com\/math-vocabulary\/author\/mithun-jhawarsplashlearn-com\/"},"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/2038","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/comments?post=2038"}],"version-history":[{"count":19,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/2038\/revisions"}],"predecessor-version":[{"id":37666,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/2038\/revisions\/37666"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=2038"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=2038"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=2038"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}