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Math Help - Word Prob Help?

  1. #1
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    Word Prob Help?

    A drain is to be made up of rectangular aluminum sheets 12 inches wide by turning up the side edges 90 degrees. What depth (of the edges) will provide a maximum cross sectional area and thereby provide for the greatest flow of water
    Last edited by blake; May 4th 2008 at 02:57 PM. Reason: broke
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  2. #2
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    Let the length of the fold be x inches. Then the base will have length 12-2x inches. By using x=\frac{-b}{2a} we can find the length of the folded side to maximize area.

    Area = x(12-2x)=-2x^{2}+12x

    a=-2 and b=12

    x=-\frac{12}{2(-2)}=3

    Turn the edges up 3 inches.
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