Question

The area of a rectangular concrete patio is 70 square meters. the perimeter is 34 meters. what are the dimensions of the patio? meters by meters submit

Answer 1

A = L * W
A = 70

70 = L * W

P = 2(L + W)
P = 34

34 = 2(L + W)
34/2 = L + W
17 = L + W
17 - W = L

70 = L * W
L = 17 - W

70 = W(17 - W)
70 = -W^2 + 17W
W^2 - 17W + 70 = 0
(W - 10)(W - 7) = 0

W - 10 = 0 L = 17 - 10
W = 10 L = 7

W - 7 = 0 L = 17 - 7
W = 7 L = 10

so either the width is 10 meters and the length is 7 meters OR the width is 7 meters and the length is 10 meters