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Math Help - Area of a trapezium

  1. #1
    Junior Member
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    Area of a trapezium

    How do you work out the area of a trapezium.

    An example would be good as well.

    Thanks in advance
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  2. #2
    Junior Member Spimon's Avatar
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    The formula is 1/2 (a+b) * h






    Example:
    Area = 1/2*(5+8)*3
    = 1/2*(13)*3
    = 19.5 units squared

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  3. #3
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    Let a and b be the parallel sides of the trapezium.
    Let h be the height of the trapezium.

    A=\frac{h(a+b)}{2}

    Example: A trapezium of height 6cm has 2 parallel sides one is 10cm the other is 8cm. Find the area of the trapezium.

    Using the formula:

    A=\frac{h(a+b)}{2}

    A=\frac{6(10+8)}{2}

    \implies A=\frac{6(18)}{2}

    \implies A=\frac{108}{2}

    \implies A=54cm^2
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  4. #4
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    thx a lot m8, that was loadz of help
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