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:

$Area=\dfrac{1}{2}\times base\times height$

$A_2=\dfrac{1}{2}\times 26\times 16$

$A_2=13\times 16$

$A_2=208$

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.