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  1. #1
    Junior Member StarlitxSunshine's Avatar
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    Optimization Word Problem Start Help

    A rectangular field is to be bounded by a fence on three sides and by a straight stream on the fourth side. Find the dimension of the field with maximum area that can be enclosed with 1000 feet of fence.

    ~I'm not really sure how to start with this question. I drew a rectangle surrounded by another rectangle, shaded outer side for the stream, but I'm not quite sure what to do next...

    If you help me get started, that'd be great
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  2. #2
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    Quote Originally Posted by StarlitxSunshine View Post
    A rectangular field is to be bounded by a fence on three sides and by a straight stream on the fourth side. Find the dimension of the field with maximum area that can be enclosed with 1000 feet of fence.

    ~I'm not really sure how to start with this question. I drew a rectangle surrounded by another rectangle, shaded outer side for the stream, but I'm not quite sure what to do next...

    If you help me get started, that'd be great
    let L = side parallel to the stream

    W = sides perpendicular to the stream

    2W+L = 1000

    A = LW

    get A in terms of a single variable, take the derivative and maximize.
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