Question

Calculate the area of the composite figure.

Answer 1

Check the picture below.

Answer 2

Answer:

115.5 square inches.

Step-by-step explanation:

We have been given a composite figure. We are asked to find the area of our given composite figure.

We can see that our given figure consists a rectangle and a triangle.

$\text{Area of composite figure}=\text{Area of rectangle}+\text{Area of triangle}$

$\text{Area of rectangle}=\text{Length}\times \text{ width}$

$\text{Area of rectangle}=(20-7)\text{ in}\times 7\text{ in}$

$\text{Area of rectangle}=13\text{ in}\times 7\text{ in}$

$\text{Area of rectangle}=91\text{ in}^2$

$\text{Area of triangle}=\frac{1}{2}(\text{Base length}\times\text{Height}$

$\text{Area of triangle}=\frac{1}{2}(7\text{ in}\times7\text{ in}$

$\text{Area of triangle}=\frac{1}{2}(49\text{ in}^2)$

$\text{Area of triangle}=24.5\text{ in}^2$

$\text{Area of composite figure}=91\text{ in}^2+24.5\text{ in}^2$

$\text{Area of composite figure}=115.5\text{ in}^2$

Therefore, the area of our given composite figure is 115.5 square inches.