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Homework Help: Calculus help

  1. Oct 19, 2004 #1
    A rectangular study area is to be enclosed by a fence and divided into two equal parts, with a fence running along the division parallel to one of the sides. If the total area is 384 ft^2, find the dimensions of the study area that will minimize the total length of the fence. How much fence will be required?

    This is what I have so far:
    P=3y+4x
    y=384ft^2/x
    P=3(384ft^2)/x+4x
    P=1152ft^2/x+4x

    I'm not sure what to do next.

    Thanks for the help!!
     
  2. jcsd
  3. Oct 19, 2004 #2

    Galileo

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    How did you get P=3y+4x?
    Don't you have P=3x+2y? (Twice the length, twice the width and one division equal to either x or y?)

    You have to minimize P, so try differentiating it to find the extrema.
     
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