Question

what is the total area of the figure below?

Explanation:

Step1: Calculate area of trapezoid

The formula for the area of a trapezoid is $A_{trapezoid}=\frac{(a + b)h}{2}$, where $a = 10$ in, $b = 16$ in, $h = 9$ in.
$A_{trapezoid}=\frac{(10 + 16)\times9}{2}=\frac{26\times9}{2}=117$ in².

Step2: Calculate area of triangle

The formula for the area of a triangle is $A_{triangle}=\frac{bh}{2}$, where $b = 6$ in, $h = 8$ in.
$A_{triangle}=\frac{6\times8}{2}=24$ in².

Step3: Sum the areas

Total area $A = A_{trapezoid}+A_{triangle}=117 + 24 = 141$ in².

Answer:

141 square inches