Question

an architect designs a rectangular flower garden such that the width is exactly two thirds of the length. if 230 feet of antique picket fencing are to be used to enclose the garden, find the dimensions of the garden.

Answer 1

length = 69 ft.

width = 46 ft.

Explanation:

perimeter (p) = 2L + 2W

where P = 230 ft.

W = 2/3L

plugin values into the formula:

230 = 2L + 2(2L/3)

230 = 2L + 4/3L

230 = 10/3L

L = 690/10

L = 69

W = 2/3L

W = (2/3) 69

W = 46

P = 2(69) + 2(46)

P = 230 ft.

therefore,

the dimensions of the rectangular garden:

length = 69 ft

width = 46 ft.