Quadrilaterals are polygon of four sides and vertices. These can be of different shapes. How to calculate area of quadrilaterals of different shapes are explained here with examples.

### The topic covers are

**Area of a square**

**Area of a rectangle**

**Area of a parallelogram**

**Area of a rhomboid**

**Area of a quadrilateral**

**Area of a trapezoid**

## How to calculate area of a square

where, a is the sides of square.

**Example**: calculate the area of square whose sides each measuring 4cm.

* Solution : Area=4 *x* 4 = 16 cm ^{2}*

## How to calculate area of a rectanlge

where, and are two sides of rectangle.

**Example:** calculate the area of rectangle whose sides measuring 4cm and 8 cm.

Solution : Area=4 x 8 = 32 cm^{2}

## How to calculate area of a parallelogram

where is the base, is the height, and area is multiply of both.

**Example:** Find the area of a parallelogram with a base of 18 centimeters and a height of 5 centimeters.

* Solution : Area=18 x 5 = 90 cm ^{2}*

## How to calculate area of a rhombus

Area of rhombus can be calculated using three different methods

### 1. the “base height” method

where, is the base, is the altitude or height,

### 2. the diagonals method

where, and are diagonals of rhombus.

### 3. using trigonometry

where,

is the length of any side

is any interior angle

## How to calculate area of quadrilateral

and

Where,

a,b,c,d=sides of quadrilateral

θ1,θ2 are angles of quadrilateral

## How to calculate area of trapezoid

where, and are parallel base and is height.

**Example**: Find the area of a trapezoid with bases of 9 centimeters and 7 centimeters, and a height of 3 centimeters

*Solution: Area= (9+7).3/2 = 24 cm ^{2}*