{"id":34764,"date":"2024-02-13T10:16:44","date_gmt":"2024-02-13T04:46:44","guid":{"rendered":"https:\/\/ccssmathanswers.com\/?p=34764"},"modified":"2024-02-13T17:46:48","modified_gmt":"2024-02-13T12:16:48","slug":"perimeter-and-area-of-square","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/perimeter-and-area-of-square\/","title":{"rendered":"Perimeter and Area of Square | How to Calculate the Perimeter and Area of a Square?"},"content":{"rendered":"<p>The Perimeter and Area of the Square are used to measure the length of the boundary and space occupied by the square. These are two important formulas used in <a href=\"https:\/\/ccssmathanswers.com\/mensuration\/\"><strong>Mensuration<\/strong><\/a>. Perimeter and Area of the Square formulas are used in the 2-D geometry.<\/p>\n<p>Square is a regular quadrilateral where are the sides and angles are equal. The concepts of the Perimeter and Area Square formula, Derivation, Properties, are explained here. The solved examples with clear cut explanations are provided in this article. Students can understand how and where to use the formulas of Area and Perimeter of Square.<\/p>\n<h3>What is the Area and Perimeter of the Square?<\/h3>\n<p><strong>Area of a square:<\/strong> The area of the square is defined as the region covered by the two-dimensional shape. The units of the area of the square are measured in square units i.e., sq. cm or sq. m.<\/p>\n<p><strong>Perimeter of a square:<\/strong> The perimeter of the square is a measure of the length of the boundaries of the square. The units of the perimeter are measured in cm or m.<\/p>\n<h3>Area of Square Formula<\/h3>\n<p>The area of the square is equal to the product of the side and side.<br \/>\nArea = Side \u00d7\u00a0 Side sq. units<br \/>\nA = s\u00b2 sq. units<\/p>\n<h3>Perimeter of Square Formula<\/h3>\n<p>The perimeter of the square is the sum of the lengths.<br \/>\nP = s + s + s +s<br \/>\nP = 4s units<br \/>\nWhere s is the side of the square.<\/p>\n<h3>Diagonal of Square Formula<\/h3>\n<p>The square has two diagonals with equal lengths. The diagonal of the square is greater than the sides of the square.<\/p>\n<ul>\n<li>The relationship between d and s is d = a\u221a2<\/li>\n<li>The relationship between d and Area is d = \u221a2A<\/li>\n<\/ul>\n<h3>What is Square?<\/h3>\n<p>A square is a regular polygon in which all four sides are equal. The measurement of the angles of the square is also equal.<\/p>\n<h3>Properties of Squares<\/h3>\n<p>The properties of the square are similar to the properties of the rectangle. Go through the properties of squares from the below section.<\/p>\n<ul>\n<li>All sides of the squares are equal.<\/li>\n<li>It has 4 sides and 4 vertices.<\/li>\n<li>The interior angles of the square are equal to 90\u00ba<\/li>\n<li>The diagonlas of square bisect at 90\u00ba<\/li>\n<li>The diagonals of the square are divided into two isosceles triangles.<\/li>\n<li>The opposite sides of the squares are parallel to each other.<\/li>\n<li>Each half of the square is equal to two rectangles.<\/li>\n<\/ul>\n<h3>Solved Problems on Perimeter and Area of Square<\/h3>\n<p>Below we have provided the solved examples of perimeter and area of a square with a brief explanation. Scroll down this page to check out the formulas of Area and Perimeter of Square.<\/p>\n<p><strong>1. What is the Area and Perimeter of the square if one of its sides is 4 meters?<\/strong><\/p>\n<p>Solution:<\/p>\n<p>Given the side of the square is 4 meters.<br \/>\nArea of the square = s \u00d7 s<br \/>\nA = 4 m \u00d7 4 m<br \/>\nA = 16 sq. meters<br \/>\nThe perimeter of the square = 4s<br \/>\nP = 4 \u00d7 4 m<br \/>\nP = 16 meters.<br \/>\nTherefore the area and perimeter of the square are 16 sq. meters and 16 meters.<\/p>\n<p><strong>2. Find the area of the square if the side is 10 cm?<\/strong><\/p>\n<p>Solution:<\/p>\n<p>Given,<br \/>\ns = 10 cm<br \/>\nArea of the square = s \u00d7 s<br \/>\nA = 10 cm \u00d7 10 cm<br \/>\nA = 100 sq. cm<br \/>\nTherefore the area of the square is 100 sq. cm<\/p>\n<p><strong>3. The perimeter of the square is 64 cm. Find the area of the square?<\/strong><\/p>\n<p>Solution:<\/p>\n<p>Given,<br \/>\nThe perimeter of the square is 64 cm<br \/>\nP = 4s<br \/>\n64 cm = 4s<br \/>\ns = 64\/4 = 16 cm<br \/>\nThus the side of the square is 16 cm.<br \/>\nNow the find the area of the square.<br \/>\nArea of the square = s \u00d7 s<br \/>\nA = 16 cm \u00d7 16 cm<br \/>\nA = 256 sq. cm<br \/>\nTherefore the area of the square is 256 sq. cm.<\/p>\n<p><strong>4. If the area of the square is 81 cm\u00b2, then what is the length of the square?<\/strong><\/p>\n<p>Solution:<\/p>\n<p>Given,<br \/>\nA = 81 cm\u00b2<br \/>\nArea of the square = s \u00d7 s<br \/>\n81 sq. cm = s\u00b2<br \/>\ns\u00b2 = 81 sq. cm<br \/>\ns = \u221a81 sq. cm<br \/>\ns = 9 cm<br \/>\nThus the length of the square is 9 cm.<\/p>\n<p><strong>5. The length of the square is 25 cm. What is the area of the square?<\/strong><\/p>\n<p>Solution:<\/p>\n<p>Given,<br \/>\nThe length of the square is 25 cm<br \/>\nArea of the square = s \u00d7 s<br \/>\nA = 25 \u00d7 25<br \/>\nA = 625 sq. cm<br \/>\nTherefore the area of the square is 625 sq. cm.<\/p>\n<h3>FAQs on Perimeter and Area of Square<\/h3>\n<p><strong>1. How to find the perimeter of the square?<\/strong><\/p>\n<p>Add all the sides of the square to find the perimeter of the square.<\/p>\n<p><strong>2. What is the formula for the perimeter of a square?<\/strong><\/p>\n<p>The Perimeter of Square formula is sum of the lengths i.e, side + side + side + side = 4s<\/p>\n<p><strong>3. What is the formula for the area of the square?<\/strong><\/p>\n<p>The area of the square formula is the product of side and side. A = s \u00d7 s.<\/p>\n<p>Read More:<\/p>\n<ul>\n<li><a href=\"https:\/\/paisaalgo.com\/abb-pivots-calculator\/\">ABB Pivot Point Calculator<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>The Perimeter and Area of the Square are used to measure the length of the boundary and space occupied by the square. These are two important formulas used in Mensuration. Perimeter and Area of the Square formulas are used in the 2-D geometry. Square is a regular quadrilateral where are the sides and angles are &#8230; <a title=\"Perimeter and Area of Square | How to Calculate the Perimeter and Area of a Square?\" class=\"read-more\" href=\"https:\/\/bigideasmathanswers.com\/perimeter-and-area-of-square\/\" aria-label=\"More on Perimeter and Area of Square | How to Calculate the Perimeter and Area of a Square?\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[5],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/34764"}],"collection":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/comments?post=34764"}],"version-history":[{"count":2,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/34764\/revisions"}],"predecessor-version":[{"id":92909,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/34764\/revisions\/92909"}],"wp:attachment":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media?parent=34764"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/categories?post=34764"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/tags?post=34764"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}