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likoan [24]
3 years ago
13

Translate this problem to an equation and solve. The area of a patio is 72 square feet. The length of the patio is 1 foot longer

than width. What is the width of the patio?
Mathematics
1 answer:
Inessa05 [86]3 years ago
7 0
A = LW
A = 72
L = W + 1

72 = W(W + 1)
72 = W^2 + W
W^2 + W - 72 = 0
(W + 9)(W - 8) = 0

W + 9 = 0
W = -9......extraneous solution...does not work here

W - 8 = 0
W = 8 <==

L = W + 1
L = 8 + 1
L = 9

so the width (W) is 8 ft and the Length is 9 ft
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