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Math Help - Extreme Value Problems

  1. #1
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    Extreme Value Problems

    A farmer wants to fence an area of 600m^2 in a rectangular field and divide it in half with a fence parallel to one of the sides of the rectangle. How can this be done to minimize the cost of this fence?

    A = L \times w

    600 = L \times w

    \frac {600}{L} = w


    P = 2L + w

    P = 2L + \frac {600}{L}

    P' = 2L - \frac {600}{L^2}

    \frac {600}{L^2} = 2

    +/- \sqrt{300} = L

    I stopped here because the answers in the textbook for length (which is 30m) is different and I don't know where I went wrong. Please help me?
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  2. #2
    Behold, the power of SARDINES!
    TheEmptySet's Avatar
    Joined
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    Yuma, AZ, USA
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    Always draw a diagram...

    Extreme Value Problems-capture.jpg

    There perimeter should be

    P=2w+3l

    Good luck.
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