Question

what is the area of the figure? 7 in. 8 in. 8 in. 7 in. 4 in. 16 in. 88 square inches 96 square inches 120 square inches 80 square inches

Explanation:

Step1: Calculate area of rectangle

The rectangle has length \( 16 \) in and height \( 7 \) in. The area of a rectangle is \( \text{length} \times \text{height} \), so \( 16 \times 7 = 112 \) square inches.

Step2: Calculate area of the two triangles to subtract

Each triangle has a base of \( 8 \) in and a height of \( 7 - 4 = 3 \) in. The area of one triangle is \( \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 8 \times 3 = 12 \) square inches. There are two such triangles, so total area of triangles is \( 2 \times 12 = 24 \) square inches.

Step3: Subtract triangle area from rectangle area

The area of the figure is \( 112 - 24 = 88 \) square inches.

Answer:

88 square inches