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    Optimization problem dealing with a fence and area.

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    A farmer has 600 feet of fencing with which to enclose a rectangular plot. What is the maximum area he can enclose?

    Hint: Find a model for the area of the rectangular plot and maximize by completing the square

    © BrainMass Inc. brainmass.com February 24, 2021, 2:11 pm ad1c9bdddf
    https://brainmass.com/math/optimization/optimization-problem-determining-maximum-area-6168

    Solution Preview

    First let's find the function we want to maximize.
    Le x and y be sides of a rectangular plot. We know that its perimeter has to be 600 feet.
    So 2x+2y=600
    => x+y=600
    => ...

    Solution Summary

    The maximum area of a fenced enclosure is found by completing the square.

    $2.19

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