Question

Geneva wants to put fencing around her rectangular flower bed. The width of her flower bed is 2/3 the length. The perimeter of the flower bed is 20 feet. What are the dimensions of her flower bed?

Answer 1

P = 2(L + W)
P = 20
W = 2/3L

20 = 2(L + 2/3L)
20 = 2(3/3L + 2/3L)
20 = 2(5/3L)
20 = 10/3L
20 * 3/10 = L
60/10 = L
6 = L <=== length

W = 2/3L
W = 2/3(6)
W = 12/3
W = 4 <=== width