Calculate the area of the composite figure.

Question

asked May 6, 2020 63.3k views

2 Answers

Ronay · Answer 1 · 2020-05-10T03:20:48+0000

Answer:

115.5 square inches.

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.

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

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

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

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

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

$\text{Area of triangle}=(1)/(2)(\text{Base length}*\text{Height}$

$\text{Area of triangle}=(1)/(2)(7\text{ in}*7\text{ in}$

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

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

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

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

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