Question

The perimeter of a rectangle is 30 inches. If its length is three times its width, find the dimensions.

Answer 1

Perimeter = 2×L + 2×W

Let x = width

Length = 3x

2 (3x) + 2 (x) = 30
6x + 2x = 30
8x = 30
x = 30/8 = 3 3/4 inches

So width is 3 3/4 inches and length is 3x so

3 × 3 3/4 = 11 1/4 inches

Length 11 1/4 inches
Width 3 3/4 Inches