Question

The aero of a playground is 160 yd^2. THE with of the playground is 6yd longer than its length. Find the length and width of the play ground.

Answer 1

A = LW
W = L + 6
A = 160

160 = L(L + 6)
160 = L^2 + 6L
L^2 + 6L - 160 = 0
(L + 16)(L - 10) = 0

L + 16 = 0
L = -16 (extraneous solution...not ur answer)

L - 10 = 0
L = 10 <====the length (L) = 10 yds

W = L + 6
W = 10 + 6
W = 16 < ==== width (W) = 16 yds