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Thread: Best Fencing Plan

  1. #1
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    Best Fencing Plan

    A rectangular plot of farmland will be bounded on one side by a river and on the other 3 sides by a single-strand electric fence. With 800m of wire at your disposal, what is the largest area you can enclose, and what are its dimensions?

    Another problem I have no idea how to do. Any help is appreciated, thanks.
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  2. #2
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    Draw a picture, make x be the width of the farmland and y be the length.

    You should find that 2x+y=800 so y = 800-2x

    A = xy = x(800-2x)

    Now solve A'=0
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  3. #3
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    Ok, it makes a lot more sense when I draw it out. Just one thing, would the dimensions of it be $\displaystyle (200, 400)$? Just want to check the work. Thanks for the help.
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  4. #4
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    2x+y=800

    2(200)+400 = 800

    ;D
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  5. #5
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    Quote Originally Posted by pickslides View Post
    2x+y=800

    2(200)+400 = 800

    ;D
    Lol, what the hell was I thinking, dimensions aren't a point. xD
    Thanks for all the help.
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