We have grown leaps and bounds to be the best Online Tuition Website in India with immensely talented Vedantu Master Teachers, from the most reputed institutions. Vedantu LIVE Online Master Classes is an incredibly personalized tutoring platform for you, while you are staying at your home. The area of a quadrilateral is measured in square units like square metre, square centimetre etc. Some other examples of a Quadrilateral are Kite, rhombus and trapezoid. The sum of all the angles of a quadrilateral is 360 degrees.Ī Quadrilateral can be both of regular shape or irregular shape. In all types of quadrilaterals, SQUARE is the only regular quadrilateral the rest all are irregular quadrilaterals. In the word Quadrilateral, Quad means Four and Lateral means sides. Which one is not a quadrilateral - triangle, square, rectangle? How do you find the area of a quadrilateral?įind the area of a parallelogram with base 10 m and height 12m?Ĭalculate the area of a kite having diagonals of length 13m and 10m? Now that you know what is the area of a quadrilateral and how to find it, it’s time you should practice the given questions to test your knowledge. Solution: Area of Rectangle = length * Breadth Find the area of this quadrilateral?Įxample 5: A rectangle has sides of length of 5 m and 10 m, Find the area of this rectangle? What would be the area of this rectangle?Įxample 4: A quadrilateral in the shape of a kite has two diagonals of length 6 m and 8 m. Solution: A quadrilateral of all sides equal is known as Square.Īrea of a square - a 2, where a is the side of the square.Įxample 3: The length of a quadrilateral (rectangle) is 6 m and the breadth is 5m. Substituting the values in the formula we get,Įxample 2: A quadrilateral has four equal sides each of length 4cm. Solution: Area of quadrilateral = ½ * (a+b) * h Let a = 2m, b= 4m and h = 3m, then Area of trapezium = (2+4)/2*3 = 9m 2Įxample 1 : Calculate the area of a quadrilateral with the given measurements:ĭiagonal = 50 m, Perpendicular height = 60 m and 20 m. (a+b)/2 * h, where a and b are opposite bases and h is the height. Let b = 3 m, h= 6 m, then Area of Rectangle = 3 * 6 = 18m 2 Let b = 4 m, h= 5 m, then Area of Rectangle = 4 * 5 = 20m 2 Let b = 2 m, h= 4 m, then Area of Rectangle = 2 * 4 = 8m 2 Let a = 4 m, then Area of square = 4*4 =16 m 2 Let us learn the formulas to find the area of all the types of quadrilateral in a tabular form.Ī * a = a 2, where a is the length of the side of the square. For example, the sides of a square are equal, but all the four sides of a trapezium are not equal.Īrea Formulas of Different Types of QuadrilateralsĪs the lengths of the four sides of a quadrilateral may or may not be equal, the formulas to find their areas are also different. The lengths of all the four sides of a quadrilateral may or may not be equal. The sum of all the interior angles of a quadrilateral is always 360 degrees. Let’s learn the basic properties of a quadrilateral.Įvery quadrilateral has four vertices, four sides, and four angles. What are the Properties of a Quadrilateral? Therefore, area of quadrilateral PQRS = ( ½ * PR * PT) + (½ * PR * RU), where T and U are the perpendiculars from the vertices P and R on the diagonal. Step 3 : Area of the quadrilateral PQRS = Area of △PQR + Area of △PRS Step 2: From each of these vertices, draw a perpendicular on the diagonal PR. Step 1: Construct a diagonal PR that will join the opposite vertices of the quadrilateral PQRS. How to Calculate the Area of a Quadrilateral? Īs explained in the above paragraph, any polygon having four sides is a quadrilateral, so we have many types of quadrilaterals. The standard unit for measuring an area is mainly square metres, also written as m 2. The area of a quadrilateral is measured in square units. If that figure has four sides, the region inside these four sides will be called an area of a quadrilateral. Solved examples of the area of a quadrilateralĪn area is defined as any region which is included in a particular boundary or figure. Formulas of the area of different types of quadrilateralĦ. How to calculate the area of a quadrilateral?ĥ. You will learn the following topics on this page.ģ. Let’s first understand what an area is, so that you can understand the concept of the area of the Quadrilateral. On this page, you will learn how to find the area of any type of quadrilateral, be it a square or a trapezium. There are two types of quadrilaterals - regular and irregular. The general formula of the area of a quadrilateral is base * height, also written as b*h and the unit of measurement is m 2. The area of the quadrilateral is the region enclosed by the four sides of this polygon.
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