The length of a rectangular garden is 8 feet more than its width. Its area is 240 square feet. Find the length and width of the garden.

Answer 1

L=8+W

A=LW = 240

(8+W)W=240

8W + W^2 = 240

W^2 + 8W + 16 = 240 + 16

(W+4)^2 = 256

W + 4 = sqr256

W = -4 + 16 = 12

L = 20

Answer 2

L=8+W

A=LW = 240

(8+W)W=240

8W + W^2 = 240

W^2 + 8W + 16 = 240 + 16

(W+4)^2 = 256

W + 4 = sqr256

W = -4 + 16 = 12

L = 20