Question

A composite figure has three congruent triangles removed from it.

What is the area of the shaded region?

O 98ft
O 128ft
O 160ft
O 192ft

Answer 1

`128 \: {ft}^(2)`

Explanation:

Area of the shaded region = 3 times the area of one square with side length 8 ft - 3 time the area of one triangle with base 8 ft and height 8 ft

`= 3 {(8)}^(2) - \cancel 3 * (1)/(\cancel 3) * 8 * 8 \\ \\ = 3 * 64 - 64 \\ \\ = (3 - 1)64 \\ \\ = 2 * 64 \\ \\ = 128 \: {ft}^(2)`