Calculus

a rectangular storage area is to be constructed along the sides of a tall building. A security fence is required along the three remaining sides of the area. What is the maximum area that can be enclosed with 1000m fencing?

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  1. so one side is not needed.
    let the two width be x m
    let the one length be y m

    2x + y = 1000
    y = 1000 - 2x

    area = xy
    = x(1000-2x)
    =1000x - 2x^2

    d(area)/dx = 1000 - 4x
    = 0 for a max of area
    4x = 1000
    x = 250
    y = 1000-500 = 500

    max area = xy
    = 250(500)
    = 125000 m^2

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  2. Reiny you are a Godsent Thanks Alot ^_^
    Feeling more confident for finals now!

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  3. so is it a problem if I used dA/dx instead?

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