SOLUTION: what is the maximum possible area of a rectangle with a perimeter of 14

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Question 460235: what is the maximum possible area of a rectangle with a perimeter of 14
Answer by stanbon(75887) About Me  (Show Source):
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what is the maximum possible area of a rectangle with a perimeter of 14
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Perimeter = 2(L + W) = 14
L+W = 7
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L = 7-W
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Area = LW
Solve: (7-W)W = maximum Area
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A = 7W-W^2
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Maximum A occurs when W = -b/(2a) = -7/(2*-1) = 3.5
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Max Area = 3.5*3.5 = 12.25 sq. units
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Cheers,
Stan H.
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