Question

16 in.
9 in.
8 in.
6 in. 10 in.
type the answer in the box.
square inches

Explanation:

Step1: Identify the shapes (trapezoid and triangle)

The figure consists of a trapezoid and a triangle. For the trapezoid, the formula for area is $\frac{(a + b)}{2} \times h$, where $a = 10$ in, $b = 16$ in, $h = 9$ in. For the triangle, the formula is $\frac{1}{2} \times base \times height$, where base = 6 in, height = 8 in.

Step2: Calculate the area of the trapezoid

Substitute values into trapezoid formula: $\frac{(10 + 16)}{2} \times 9 = \frac{26}{2} \times 9 = 13 \times 9 = 117$ square inches.

Step3: Calculate the area of the triangle

Substitute values into triangle formula: $\frac{1}{2} \times 6 \times 8 = 3 \times 8 = 24$ square inches.

Step4: Sum the areas

Add the area of the trapezoid and the triangle: $117 + 24 = 141$ square inches.

Answer:

141