Algebra

The back of Tom's property is a creek. Tom would like to enclose a rectangular area, using the creek as one side and fencing for the other three sides, to create a corral. If there is 100 feet of fencing available, what is the maximum possible area of the corral?

? square feet ?

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  1. length of the 1 side parallel to the creek --- y
    length of each of the 2 other sides ---- x

    2x + y = 100
    y = 100-2x

    area = xy
    = x(100-2x)
    = -2x^2 + 100x

    this is modelled by a downwards opening parabola.
    Find the vertex and you got the answer.

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  2. 1200

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  3. 32

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