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Math Help - Forming functions from Verbal Descriptions

  1. #1
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    Red face Forming functions from Verbal Descriptions

    How do I do this problem?
    Express the area A of an equilateral triangle as a function of the perimeter P.
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  2. #2
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    here's a place to start ...

    what is the area of an equilateral triangle in terms of one of its sides, "s" ?
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  3. #3
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    Found area equation

    It's (sē√3)/(4), I looked it up, but how does one get there?
    Last edited by RaphaelB30; November 30th 2008 at 02:08 PM. Reason: Typed wrong number
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  4. #4
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    well, what's the relationship between a side, "s", and the perimeter, "P" ?
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  5. #5
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    P=3S,
    Since an equilateral triangle has equal S's, would I just put a 3 next to the S, making the final answer,
    (3sē√3)/(8)
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  6. #6
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    no ... s = \frac{P}{3}

    substitute that in for "s" in your original area equation
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  7. #7
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    ok...would that mean the answer is ((pē/9)√3)/(4)?
    Last edited by RaphaelB30; November 30th 2008 at 02:30 PM. Reason: Typed wrong number
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  8. #8
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    I think I got it, thanks...the answer is...
    ((pē√3)/(36)
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  9. #9
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    clean it up ...

    A = \frac{P^2 \sqrt{3}}{36}
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