Question

An architect designs rectangular flower garden such that the width is exactly 2/3 of the length. of 290 ft 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

290 = 2(L) + 2(2/3)(L)

870 = 6L + 4L

870 = 10L

87 = L

width (w): (2/3)L = (2/3)(87) = 2(29) = 58

Answer: width = 58 ft, length = 87 ft