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24 August, 02:19

A farmer has 64 feet of fence to enclose a rectangular vegetable garden. which dimensions would result in the biggest area for this garden

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  1. 24 August, 06:15
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    The dimensions that would result to maximum area will be found as follows:

    let the length be x, the width will be 32-x

    thus the area will be given by:

    P (x) = x (32-x) = 32x-x²

    At maximum area:

    dP' (x) = 0

    from the expression:

    P' (x) = 32-2x=0

    solving for x

    32=2x

    x=16 inches

    thus the dimensions that will result in maximum are is length=16 inches and width=16 inches
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