The perimeter of a rectangle garden is 42. The width of the rectangle is 75% of its lenth. What is the area of the rectangle?

The perimeter of a rectangle garden is 42. The width of the rectangle is 75% of its lenth. What is the area of the rectangle?

Explanation

Let's denote the length as L and width as W.

Given W = 0.75L or W = (3/4)L

Perimeter = 2(L + W) = 42

2(L + 3L/4) = 42

2(7L/4) = 42

7L/2 = 42

7L = 84

L = 12

W = (3/4)*12 = 9

Area = L * W = 12 * 9 = 108