## Quadrilateral area formulas

The region that is covered by all the sides of the quadrilateral is known as the area of a quadrilateral. The term area can be said to be the area that is been occupied by the object from all four sides.

The standard unit that is considered for the measurement of the area of the quadrilateral is square metres. It should be understood that a figure that is in the nature of a polygon consisting of four sides is known as a quadrilateral. A quadrilateral can occur in various shapes and those shapes include square, rhombus, rectangle, kite, parallelogram and so on. Thus, it can be said that a quadrilateral is an object that consists of four sides.

## Properties of quadrilateral

The following are the properties of a quadrilateral that help in understanding the concept in a much better way,

A quadrilateral always has 4 sides.

The sum of the interior angles of any quadrilateral will be the sum of 360 degrees.

A quadrilateral owns four sides; however, these sides of a quadrilateral may be equal in length or can even be uneven in length. For example, in the quadrilateral, a square has all four sides equal. In the same manner a quadrilateral, a rectangle has uneven lengths.

The formula that is used for the finding the area of the quadrilateral is,

**½ x diagonal x (sum of the height of two triangles)**

The various formulas to find the area of the various quadrilateral are,

Square = axa

Rectangle = lxb

Parallelogram = bxh

**Find the area of a rhombus whose diagonals are 6 cm and 7 cm respectively.**

**Answer:** D_{1}, p= 7 cm ; D_{2} q=6 cm

Then, ½* D_{1} * D_{2} cm^{2}

Then,

7(3) cm^{2}

Therefore: 21 cm^{2}