A landscaper has 180 feet of fencing to build to enclose a rectangular rose garden. The width of the garden is 24 feet shorter than the length of the garden. Find the length and width of the fence.
A) width = 7 ft, length = 24 ft
B) width = 12 ft, length = 15 ft
C) width = 30 ft, length = 6 ft
D) width = 6 ft, length = 30 ft
E) None of these

Question

Quizplus · Accepted Answer

The perimeter of the rectangle is 180 feet. Let the length be L and the width be W. We know W = L - 24. The perimeter equation is 2L + 2W = 180. Substituting W = L - 24 into the equation gives 2L + 2(L - 24) = 180. Solving this gives L = 30 and W = 6.

A Landscaper Has 180 Feet of Fencing to Build to Enclose