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Math Help - [SOLVED] Finding a length

  1. #1
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    Exclamation [SOLVED] Finding a length

    Hi

    How do i actually find the length of the line at the middle???
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  2. #2
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    Quote Originally Posted by xwrathbringerx View Post
    Hi

    How do i actually find the length of the line at the middle???
    your pic is too small to see, but I can tell you that the length of a midsegment of a trapezoid equals the average of the two bases.
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  3. #3
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    Exclamation

    Sorry I didnt notice..

    The longer length is 19 m and the shorter 14 m

    I tried finding the average but I got 16.5 m instead of 16 like in the answers...

    Oh, and the middle line separates the trapezium's top part into lengths of 60 m and 40 m (if that helps)
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  4. #4
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    Quote Originally Posted by xwrathbringerx View Post
    Sorry I didnt notice..

    The longer length is 19 m and the shorter 14 m

    I tried finding the average but I got 16.5 m instead of 16 like in the answers...

    Oh, and the middle line separates the trapezium's top part into lengths of 60 m and 40 m (if that helps)
    then it's not in the middle, is it?
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  5. #5
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    area of right trapezoid + area of left trapezoid = area of large trapezoid

    let b = interior base length

    20(14+b) + 30(b+19) = 50(14+19)

    solve for b, the unknown base.
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