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

Answer:

$128 \: {ft}^{2}$

Step-by-step 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

$= 3 {(8)}^{2} - \cancel 3 \times \frac{1}{\cancel 3} \times 8 \times 8 \\ \\ = 3 \times 64 - 64 \\ \\ = (3 - 1)64 \\ \\ = 2 \times 64 \\ \\ = 128 \: {ft}^{2}$