The bottom of a rectangular swimming pool has a perimeter of 56 meters and an area of 180 square meters. What are the dimensions of the pool?

Question

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Answer 1

LW = 180

L = 180/W

2(L+W) = 56

L+ W = 56/2 = 28

180/W + W = 28

multiply by W

180 + W^2 = 28W

W^2 -28W -+180 = 0

factor

(W-18)(W-10) = 0

W = 10 or 18

L = 10 or 18

dimensions are 10 by 18 meters