{"id":73839,"date":"2021-03-23T11:13:42","date_gmt":"2021-03-23T05:43:42","guid":{"rendered":"https:\/\/ccssmathanswers.com\/?p=73839"},"modified":"2022-04-01T10:27:44","modified_gmt":"2022-04-01T04:57:44","slug":"perimeter-of-quadrilateral","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/perimeter-of-quadrilateral\/","title":{"rendered":"Perimeter of Quadrilateral &#8211; Definition, Formula, Examples | How to Find the Perimeter of Quadrilateral?"},"content":{"rendered":"<p>The perimeter is the distance around a shape. A quadrilateral is a polygon that has four sides and four angles. To find the perimeter of a quadrilateral adds the measurements of four sides of it. We have given the most common types of quadrilaterals along with the perimeter of that <a href=\"https:\/\/ccssmathanswers.com\/quadrilateral\/\">quadrilateral<\/a>. Check out the complete article and know how to find the perimeter of the quadrilateral. Some of the examples of a quadrilateral are Parallelogram, Rectangle, Square, Rhombus, and Trapezium, etc.<\/p>\n<p>Also, Read:<\/p>\n<ul>\n<li><a href=\"https:\/\/ccssmathanswers.com\/sum-of-angles-of-a-quadrilateral\/\">Sum of Angles of a Quadrilateral<\/a><\/li>\n<li><a href=\"https:\/\/ccssmathanswers.com\/different-types-of-quadrilaterals\/\">Different Types of Quadrilaterals<\/a><\/li>\n<li><a href=\"https:\/\/ccssmathanswers.com\/construct-different-types-of-quadrilaterals\/\">Construct Different Types of Quadrilaterals<\/a><\/li>\n<\/ul>\n<h2>Perimeter of Different Types of Quadrilaterals<\/h2>\n<p>The sum of the four angles of the quadrilateral is equal to 360\u00b0. We have different types of quadrilateral. They are<\/p>\n<ol>\n<li>Parallelogram<\/li>\n<li>Rectangle<\/li>\n<li>Square<\/li>\n<li>Rhombus<\/li>\n<li>Trapezium<\/li>\n<\/ol>\n<p>The perimeter of the Quadrilateral is the sum of the distance around the image. That means the perimeter of a quadrilateral is equal to the sum of the four sides of the image or object. That is,<\/p>\n<p><img loading=\"lazy\" class=\"alignnone wp-image-7867\" src=\"https:\/\/www.worksheetsbuddy.com\/wp-content\/uploads\/2021\/03\/Perimeter-of-quadrilateral.-introduction.image1_-300x170.jpg\" alt=\"Perimeter of quadrilateral. introduction.image1\" width=\"219\" height=\"124\" \/><\/p>\n<p>(AB + BD + DC + CA) = Perimeter of the Quadrilateral.<\/p>\n<h3>1. Parallelogram<\/h3>\n<p><img loading=\"lazy\" class=\"alignnone wp-image-7868\" src=\"https:\/\/www.worksheetsbuddy.com\/wp-content\/uploads\/2021\/03\/Perimeter-of-quadrilateral.-introduction.image2_.jpg\" alt=\"Perimeter of quadrilateral. introduction.image2\" width=\"180\" height=\"143\" \/><\/p>\n<p>Here, the lengths of the two sides of the parallelogram are equal and the breadths of the two sides of the parallelogram are equal. Opposite sides are equal in a parallelogram.<br \/>\nPerimeter of the Parallelogram = (AB + BD + DC + CA)<br \/>\n= (b + l + b + l).<br \/>\nPerimeter of the Parallelogram = 2(l + b).<br \/>\nHere, \u2018l\u2019 represents the length and \u2018b\u2019 represents the breadth of the parallelogram.<br \/>\nArea of the parallelogram = Base * height.<\/p>\n<h3>2. Rectangle<\/h3>\n<p><img loading=\"lazy\" class=\"alignnone wp-image-7869\" src=\"https:\/\/www.worksheetsbuddy.com\/wp-content\/uploads\/2021\/03\/Perimeter-of-quadrilateral.-introduction.image3_-300x197.jpg\" alt=\"Perimeter of quadrilateral. introduction.image3\" width=\"215\" height=\"141\" \/><\/p>\n<p>In a rectangle, both the lengths of the sides are equal and the breadths of the sides of a rectangle are equal. That means, opposite sides of the rectangle are equal.<br \/>\nPerimeter of the rectangle = (AB + BD + DC + CA) = (b + l + b + l) = 2(l + b).<br \/>\nPerimeter of the Rectangle = 2(l + b).<br \/>\nArea of the Rectangle = length * breadth = l *b.<br \/>\nHere, \u2018l\u2019 indicates the length of the rectangle and \u2018b\u2019 indicates the breadth of the rectangle.<\/p>\n<h3>3. Square<\/h3>\n<p><img loading=\"lazy\" class=\"alignnone wp-image-7870\" src=\"https:\/\/www.worksheetsbuddy.com\/wp-content\/uploads\/2021\/03\/Perimeter-of-quadrilateral.-introduction.image4_.jpg\" alt=\"Perimeter of quadrilateral. introduction.image4\" width=\"189\" height=\"158\" \/><\/p>\n<p>In this, a square is also enclosed with the four sides and the lengths of these four sides are equal.<br \/>\nHere, \u2018a\u2019 indicates the length of the sides of the square.<br \/>\nPerimeter of the square = (AB + BD + DC + CA) = (a + a + a + a) = 4a.<br \/>\nThe perimeter of the square = 4a.<br \/>\nArea of the Square = Side * Side = a * a = a^2.<\/p>\n<h3>4. Rhombus<\/h3>\n<p><img loading=\"lazy\" class=\"alignnone wp-image-7871\" src=\"https:\/\/www.worksheetsbuddy.com\/wp-content\/uploads\/2021\/03\/Perimeter-of-quadrilateral.-introduction.image5_.jpg\" alt=\"Perimeter of quadrilateral. introduction.image5\" width=\"136\" height=\"157\" \/><\/p>\n<p>The lengths of the four sides of the rhombus are equal. Here, \u2018a\u2019 represents the length of the side.<br \/>\nPerimeter of the Rhombus = (AB + BC + CD + DA) = (a + a + a + a) = 4a.<br \/>\nThe perimeter of the Rhombus = 4a.<br \/>\nArea of the Rhombus = (Base * height).<\/p>\n<h3>5. Trapezium<\/h3>\n<p><img loading=\"lazy\" class=\"alignnone wp-image-7872\" src=\"https:\/\/www.worksheetsbuddy.com\/wp-content\/uploads\/2021\/03\/Perimeter-of-quadrilateral.-introduction.image6_.jpg\" alt=\"Perimeter of quadrilateral. introduction.image6\" width=\"171\" height=\"138\" \/><\/p>\n<p>Two opposite sides of the trapezium are parallel. Perimeter of the Trapezium = (AB + BC + CD + DA).<br \/>\nAB + BC + CD + DA = (c + b + d + a)cm.<br \/>\nArea of the Trapezium = (a + b) \/ 2 * h.<br \/>\nHere, a, b, c, d are the sides of the trapezium. And \u2018h\u2019 indicates the height of the trapezium.<\/p>\n<h2>Perimeter of Quadrilateral Examples<\/h2>\n<p><strong>1. Find the Perimeter of the Quadrilateral with the sides 2cm, 10cm, 5cm, and 20cm?<\/strong><\/p>\n<p>Solution:<br \/>\nThe given information is the length of the four sides of the quadrilateral is = 2cm, 10cm, 5cm, 20cm.<br \/>\nThe perimeter of the quadrilateral = sum of the length of the four sides of the quadrilateral.<br \/>\nPerimeter of the quadrilateral = (2 + 10 + 5 + 20)cm. = 37cm.<\/p>\n<p>So, the perimeter of the quadrilateral is equal to 37cm.<\/p>\n<p><strong>2. The Perimeter of the quadrilateral is 40cm and the length of the three sides of the quadrilateral is 5cm, 10cm, and 5cm. Find the length of the four sides of the quadrilateral?<\/strong><\/p>\n<p>Solution:<br \/>\nThe given details are the Perimeter of the quadrilateral = 40cm.<br \/>\nLength of the three sides of quadrilateral = 5cm, 10cm, and 5cm.<br \/>\nThe perimeter of the quadrilateral = sum of the length of four sides of the quadrilateral.<br \/>\n40cm = (5 + 10 + 5 + x) cm.<br \/>\n40 = 20 + x.<br \/>\nx = 40 \u2013 20 = 20cm.<\/p>\n<p>Finally, the length of the fourth side of the quadrilateral is equal to 20cm.<\/p>\n<p><strong>3. A woman crosses a distance of 24m long while going round a quadrilateral field twice. What will be the cost of fencing the field at the rate of cost $1.20per m?<\/strong><\/p>\n<p>Solution:<br \/>\nThe given information is Women crosses a distance of 24m long = perimeter of its boundary = 24 \/ 2 = 12m.<br \/>\nCost of fencing the field for 1m = $1.20.<br \/>\nThen the cost of 12m of fencing the field = 12 * $1.20 = $14.4.<\/p>\n<p>Therefore, the cost of the 12m fencing field is equal to $14.4.<\/p>\n<p><strong>4. One side of the square is 4cm. Find the perimeter of the square?<\/strong><\/p>\n<p>Solution:<br \/>\nAs per the given information, the length of the side of the square = 4cm.<br \/>\nThe perimeter of the square = 4a.<br \/>\nHere, a = 4.<br \/>\nBy substituting the \u2018a\u2019 value in the formulae, we will get<br \/>\nPerimeter of the square = 4 * 4 = 16cm.<\/p>\n<p>So, the perimeter of the square is equal to 16cm.<\/p>\n<p><strong>5. Length of the rectangle is 10cm and the breadth of the rectangle is 5cm. Calculate the Perimeter of the Rectangle?<\/strong><\/p>\n<p>Solution:<br \/>\nAs per the given details, the Length of the rectangle (l) = 10cm.<br \/>\nBreadth of the rectangle (b) = 5cm.<br \/>\nPerimeter of the rectangle = 2(l + b).<br \/>\nBy substituting the values in the formulae, we will get like<br \/>\nPerimeter of the rectangle = 2(10 + 5) = 2(15) = 30cm.<\/p>\n<p>Therefore, the perimeter of the rectangle is equal to 30cm.<\/p>\n<p><strong>6. If the area of the rhombus is 20 square units and the height of the rhombus is 6 units, then calculate the base of the rhombus?<\/strong><\/p>\n<p>Solution:<br \/>\nFrom the given information, Area of the Rhombus = 20 Sq units.<br \/>\nHeight of the Rhombus (h) = 6 units.<br \/>\nArea of the Rhombus = Base * height.<br \/>\n20 = Base * 6.<br \/>\nBase = 20 \/ 6 = 10 \/ 3 = 0.3 units.<\/p>\n<p>The base of the Rhombus is equal to 0.3 units.<\/p>\n<h3>Frequently Asked Questions<\/h3>\n<p><strong>1. What is Quadrilateral?<\/strong><\/p>\n<p>The quadrilateral is enclosed with four sides. It has four corners, four angles, and four sides. The total angle of the quadrilateral is equal to 360\u00b0.<\/p>\n<p><strong>2. What are the types of Quadrilateral?<\/strong><\/p>\n<p>The types of Quadrilateral are,<br \/>\n1. Square<br \/>\n2. Rectangle<br \/>\n3. Parallelogram<br \/>\n4. Trapezium<br \/>\n5. Rhombus<\/p>\n<p><strong>3. How we can find the perimeter of a quadrilateral?<\/strong><\/p>\n<p>The area of the quadrilateral is the sum of all sides of the quadrilateral. Yes, by adding all sides of the quadrilateral, we can find the perimeter of the quadrilateral.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The perimeter is the distance around a shape. A quadrilateral is a polygon that has four sides and four angles. To find the perimeter of a quadrilateral adds the measurements of four sides of it. We have given the most common types of quadrilaterals along with the perimeter of that quadrilateral. 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