What is a Quadrilateral?

What is a Quadrilateral?

A quadrilateral is a polygon with four sides. A closed two-dimensional figure, formed by joining the four non-collinear points is called a quadrilateral. A quadrilateral has four sides, four angles, and four vertices. The sides of the quadrilateral may or may not be equal. Various types of quadrilaterals can be defined based on the properties of their angles, sides, and diagonals, some of which are as follows:...

Properties of Quadrilateral

All quadrilaterals have some common properties that are as follows:...

What is the Area of Quadrilateral?

Area of a quadrilateral is the space enclosed by all the boundaries of a quadrilateral. Area of a quadrilateral is measured in square units such as m2, in2, cm2, etc. Area of a regular quadrilateral is calculated by using different formulas. For calculating the area of irregular quadrilateral various formulas are used which are discussed below in this article....

Area of Quadrilateral Formula

In a quadrilateral ABCD, the length of the diagonal BD is ‘d’. ABCD can be divided into two triangles Δ ABD, and Δ BCD by the diagonal BD. For calculating the area of the quadrilateral ABCD we calculate the area of individual triangles and add them accordingly. But for calculating area of a triangle, its height must be known. Let us assume that the heights of the triangles ABD and BCD be h1 and h2 respectively....

Area of Quadrilateral with Vertices

If vertices of a quadrilateral are given then its area is calculated by the given formula. Suppose A(x1, y1), B(x2, y2), C(x3, y3), and D(x4, y4) be the vertices of a quadrilateral ABCD....

Area of Quadrilateral Using Coordinates

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Area of Quadrilateral Using Area of Triangle

For this method, we divide the given quadrilateral into two triangles and then find the area of each triangle separately. At last, both the area of triangles are added to find the final area of the quadrilateral....

Area of Quadrilateral Using Bretschneider′s Formula

When two opposite angles and all the sides of a quadrilateral are given, we can calculate its area using Bretschneider’s Formula which is the extension of heron’s formula for quadrilaterals and is given as follows:...

How to find the Area of Quadrilateral?

Area of a quadrilateral is found by using the steps discussed below:...

Area of Some Quadrilaterals

Some specific quadrilaterals are very common and are used in our daily life and their formula for areas are explained in the article given below:...

Area of Quadrilateral Solved Examples

Example 1: Find the area of the quadrilateral ABCD when its vertices are (1, 2), (5, 6), (4, −6), and (−5, 2)....

Practice Problems on Area of Quadrilateral

1. Find the area of a parallelogram with base 6 cm and height 8 cm....

Area of Quadrilateral Class 8

The area of a quadrilateral depends on its shape and the information available about it. For Class 8, you’re likely dealing with specific types of quadrilaterals like rectangles, squares, parallelograms, trapezoids (or trapeziums, depending on the regional terminology), and kites....

Conclusion of Area of Quadrilateral

The area of a quadrilateral is important for many practical tasks in geometry, construction, and design. Each type of quadrilateral, like rectangles, squares, trapezoids, and parallelograms, has its own method for calculating area. Understanding these methods helps in making accurate measurements and solving real-world problems....

Area of Quadrilateral – FAQs

What is the area of a quadrilateral?...