Question

The perimeter of a rectangle is 27 inches. The ratio of length to width is 2:1. What are the length and width of the rectangle? Round answers to the nearest tenth.

Answer 1

Perimeter is the sum of the two lengths plus the sum of the two widths.

Divide the perimeter in half and that is the sum of one length and one width.

27/2 = 13.5

The ratio is 2:1, add the ratio: 2 +1 = 3

Divide the sum by 3:

13.5/3 = 1.5

Multiply that the each portion of the ratio:

4.5 x 2 = 9

4.5 x 1 = 4.5

The length is 9 inches

The width is 4.5 inches