A rectangle is 3/2 times as long as it is wide. The perimeter of the rectangle is 100 inches. What’s the length of the rectangle?

A rectangle is 3/2 times as long as it is wide. The perimeter of the rectangle is 100 inches. What’s the length of the rectangle?

Detailed Explanation

The formula for the perimeter of a rectangle is P = 2L + 2W.

In this case, P = 100 and L = 1.5W.

100 = 2(1.5W) + 2W

100 = 3W + 2W

100 = 5W

W = 100/5

W = 20. The width of the rectangle is 20 inches.

Because the length is \(1\frac{{1} }{{2}}\) the width,1.5 × 20 = 30.

In this case, P = 100 and L = 1.5W.

100 = 2(1.5W) + 2W

100 = 3W + 2W

100 = 5W

W = 100/5

W = 20. The width of the rectangle is 20 inches.

Because the length is \(1\frac{{1} }{{2}}\) the width,1.5 × 20 = 30.