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Math Help - Calculus I Fencing Problem - Minimizing Dimensions with a Given Area

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    Calculus I Fencing Problem - Minimizing Dimensions with a Given Area

    Any help would be appreciated! The problem is as follows:
    An animal breeder wishes to create five adjacent rectangular pens, each with an area of 2400m^2. To ensure that the pens are large enough for grazing, the minimum for either dimension must be 10m. Find the dimensions required for the pens to keep the amount of fencing used to a minimum
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    Quote Originally Posted by essaymasters View Post
    An animal breeder wishes to create five adjacent rectangular pens, each with an area of 2400m^2. To ensure that the pens are large enough for grazing, the minimum for either dimension must be 10m. Find the dimensions required for the pens to keep the amount of fencing used to a minimum
    let x = adjacent side lengths

    y = single pen widths

    amount of fencing , F = 6x + 10y

    xy = 2400

    y = \frac{2400}{x}

    sub \frac{2400}{x} for y in the fence equation and minimize.
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    Thank you!
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