Question

what is the total area of the figure below? type the answer in the box. square inches

Explanation:

Step1: Calculate trapezoid area

The formula for the area of a trapezoid is $A_1=\frac{(a + b)h}{2}$, where $a$ and $b$ are the lengths of the parallel - sides and $h$ is the height. Here, $a = 10$ in, $b = 16$ in, and $h = 9$ in. So $A_1=\frac{(10 + 16)\times9}{2}=\frac{26\times9}{2}=117$ square inches.

Step2: Calculate triangle area

The formula for the area of a triangle is $A_2=\frac{1}{2}bh$, where $b$ is the base and $h$ is the height. Here, $b = 10$ in and $h = 8$ in. So $A_2=\frac{1}{2}\times10\times8 = 40$ square inches.

Step3: Calculate total area

The total area $A$ of the figure is the sum of the area of the trapezoid and the area of the triangle, $A=A_1 + A_2$. So $A=117+40 = 157$ square inches.

Answer:

157