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Math Help - Write an equation and solve

  1. #1
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    Write an equation and solve

    Set up with an equation and solve:Suppose the perimeter of a triangular lot is 100 m. If the length of the shortest side is 10 m less than the middle-length side and the length of the longest side is 25 m more than the shortest side, determine the length (in m) of the middle-length side.



    must be in an improper fraction. It's giving me a head ache.
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  2. #2
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    Hello.

    which parts giving you a headache?

    Just draw a triangle and list the variables.

    So:
    Let M = the Middle length side side

    Shortest side = M - 10
    Middle length side = M
    Longest side = M - 10 + 25 = M + 15

    And we know perimeter is 100m.

    That would mean Shortest side + Middle length side + Longest side = 100m

    I think you should be able to solve it from there. =)
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  3. #3
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    well this is the equation i ended up with

    x + x -10 + x + 25 = 100
    3x + 15 = 100
    x = 85/3 (needs to be improper)

    and the answere was wrong.
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  4. #4
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    Quote Originally Posted by Anthp08 View Post
    Set up with an equation and solve:Suppose the perimeter of a triangular lot is 100 m. If the length of the shortest side is 10 m less than the middle-length side and the length of the longest side is 25 m more than the shortest side, determine the length (in m) of the middle-length side.



    must be in an improper fraction. It's giving me a head ache.
    Let M= middle side length

    then shortest side = M-10

    longest side = M - 10 + 25 = M + 15

    Perimeter = 100

    M + M - 10 + M + 15 = 100

    3M = 95

    M = \frac {95}{3}

    = 31\frac{2}{3}

    middle side = \frac {95}{3}\;metres = 31\frac{2}{3} metres.
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  5. #5
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    thank you, i knew it was something small like that, was driving me crazy why i missed it though.
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