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

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