Question

What is the area of this figure?

Answer 1

Given:

A combined figure contains a square and a triangle.

To find:

The area of the given figure.

Solution:

The given figure contains a square of side 18 m and a triangle with base (8 m + 18 m)= 26 m and height height 16 m.

The area of the square is:

`Area=(side)^2`

`A_1=(18)^2`

`A_1=324`

The area of the triangle is:

`Area=(1)/(2)* base* height`

`A_2=(1)/(2)* 26* 16`

`A_2=13* 16`

`A_2=208`

The area of the given combined figure is:

`A=A_1+A_2`

`A=324+208`

`A=532`

Therefore, the area of the given figure is 532 m².