Question

The length of a rectangle is 3 yards less than 5 times the width. If the perimeter is 102 yards, find the length and the width of the rectangle.

Answer 1

W = 9 yards L= 42 yards

Answer 2

Width = 9 yards, length = 42 yards

Explanation:

Perimeter = 2xlength + 2xwidth. Let's call length L and width W. The question also states that L = 5W-3. Therefore, 102 = 2x (5W-3) + 2W. Then, 102 = 12W - 6. 108 = 12W, so W = 9 yards. Since L = 5W - 3, we get 45-3 = 42 yards.