Question

Find the area of the shaded region in the figure below.

answer choices:
112 sq in
32 sq in
176 sq in
144 sq in

Answer 1

$\mathfrak \blue{area \: of \: the \: shaded \: region \: = total \: area \: of \: th e \: rectangle \: - 4area \: of \: triangle} \\ \tt \green{area \: of \: the \: shaded \: region \: = 18 \times 8 - 4 \times \frac{1}{2} \times 4 \times 4} \\ \tt \blue{area \: of \: the \: shaded \: region = \: 144 - 2 \times 4 \times 4 = 144 - 32 = 112}$

The area of the shaded area is 112sq.inches