Question

A rectangle's length and width are in a ratio of 7:4. The area is 112 square inches. What are

the length and width?

Answer 1

14in and 8in

Explanation:

Lets say L is length and W is width.

L x W = 112 in^2

Because the the length and width are in a ratio of 7:4

Lets say

7x * 4x = 112

28x^2 = 112

Divide both sides by 28

x^2 = 112/28

x^2 = 4

Find the square root of both sides

x = 2

Substitute the value of x into our equation

7x * 4x = 112

7(2) * 4(2) = 112

14 *8 =112

And because 14 times 8 does equal 112 the length and width are 14 and 8.