Question

An arhitect desings a rectangular flower garden such that the width is exactly two-thirds of the length. If 280 feet of antique picket fencing are to be used to enclose the garden, find the dimensions of the garden.

Answer 1

Let the width be W and length be L
W = 2/3 x L

Perimeter = 280
280 = 2(W + L); substituting the value of W from the first equation and solving
280 = 2(2/3 L + L)
140 = 5/3 L

Length = 84 feet
Width = 56 feet