SOLUTION: The perimeter of a rectangular brick wall is 68 feet and its area is 280 square feet. What is the length of the longer side of the wall?

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Question 42157: The perimeter of a rectangular brick wall is 68 feet and its area is 280 square feet. What is the length of the longer side of the wall?
Answer by fractalier(6550) About Me  (Show Source):
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Here
P = 2L + 2W = 68
A = LW = 280
Now divide by two...and get
L + W = 34
W = 34 - L
now substitute
A = LW = L(34 - L) = 280
34L - L^2 = 280
L^2 - 34L + 280 = 0
(L - 14)(L - 20) = 0
L = 14 or L = 20
Thus L = 20 and W = 14