How to calculate area of Quadrilaterals

howtocalculate January 16, 2016 Maths Calculator, trignometry Leave a comment 1,224 Views

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.
area of parallelogram

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

$Area= a^2$ where, a is the sides of square.

Example: calculate the area of square whose sides each measuring 4cm.
Solution : Area=4 x 4 = 16 cm²

How to calculate area of a rectanlge

$Area= a.b$ where, $a$ and $b$ are two sides of rectangle.

Example: calculate the area of rectangle whose sides measuring 4cm and 8 cm.
Solution : Area=4 x 8 = 32 cm²

How to calculate area of a parallelogram

$Area= b.h$ where $b$ is the base, $h$ 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 cm²

How to calculate area of a rhombus

Area of rhombus can be calculated using three different methods

1. the “base height” method

$Area= b.h$ where, $b$ is the base, $h$ is the altitude or height,

2. the diagonals method

$Area= \frac{d_1.d_2}{2}$ where, $d_1$ and $d_2$ are diagonals of rhombus.

3. using trigonometry

$Area= {s^2}.sin A$

where,
$s$ is the length of any side
$A$ is any interior angle