Question

An architect designs a rectangular flower garden such that the width is exactly​ two-thirds of the length. If 390 feet of antique picket fencing are to be used to enclose the​ garden, find the dimensions of the garden.

Answer 1

Length (L): L

width (w): (2/3)L

Perimeter (P) = 2L + 2w

390 = 2(L) + 2(2/3)(L)

1170 = 6L + 4L

1170 = 10L

117 = L

width (w): (2/3)L = (2/3)(117) = 2(39) = 78

Answer: width = 78 ft, length = 117 ft