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Math Help - Stuck on a problem

  1. #1
    Newbie
    Joined
    Apr 2008
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    12

    Stuck on a problem

    Kinda confused about this question:

    Zeta plans to fence off a rectangular field along the bank of a river; no fence is needed along the river. Fencing cost $2 per foot for the ends and $3 per foot for the side parallel to the river. Zeta's budge is $900

    1. Let x be the length of the ide of the field that lies along the river. Explain why the formula A(x) = x(225 - .75x) describes the area of the field.

    I know that the area of a rectangle would be length * width... which would explain where x is coming from but im not sure where the stuff inside the parenthesis are coming from. I think .75 would mean that the width would be 75% of the length but not sure how to get 225.
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  2. #2
    Super Member 11rdc11's Avatar
    Joined
    Jul 2007
    From
    New Orleans
    Posts
    894
    Hi

    let me draw a pic for you and see if this makes it easier to understand


    1000000000001
    1000000000001
    2y 1000000000001 2y
    1000000000001
    1111111111111

    3x

    ok now set up a formula for the perimeter

    4y + 3x = 900

    y = 225 - .75x

    Now area is xy so

    A= x(225 - .75x)

    Hope this helps
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  3. #3
    Newbie
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    Apr 2008
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    yes... i see it. Many thanks
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