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a person plans to fence a pig pen with 100 meters of fencing. Derive a function that determines the area of the pig pen that can be enclosed by the fencing [A(w)] with respect to the pig pens width w. find the maximum area of the pig pen that can be enclosed by the fencing.

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  1. a person plans to fence a pig pen with 100 meters of fencing. Derive a function that determines the area of the pig pen that can be enclosed by the fencing [A(w)] with respect to the pig pens width w. find the maximum area of the pig pen that can be enclosed by the fencing.
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  2. If the width is w, the length must be 50-w.

    So, the area is

    a = w(50-w)
    The maximum area is achieved when x=25. You can find what it is.

    Note that the max area is when the rectangle is a square.

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  3. Where did the 50 come from? What exactly does 50 represent?

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