Question

The ratio of the width to the length of a rectangle is 3:7. The shorter side is 9 inches long. What is the longer side and also the area of the rectangle? Please show your work.

Answer 1

Take the length of the shortest side divide that by the ratio of the shortest side 9/3 =3

Take that number 3 and multiply it by seven.
3*7=21

The shorter side is 9 inches, and the longer side is 21 inches.

To find the area, multiply 21 by 9.
The area is 189 inches

Answer 2

shorter side : longer side = 3 : 7

Equate 3 parts tp 9 inches:

3 parts = 9 inches

Find 1 part:

1 part = 9 ÷ 3 = 3 inches

Find 7 parts:

7 parts = 3 x 7 = 21 inches

Area = Length x Width = 21 x 9 = 189 in²

Answer: The longer side is 21in and the area is 189 in²