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math

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the paralle side of trapezium are 20m and 30m and its non-paralle sides are 6m and 8m .find the area of trapezium

  • math -

    draw a diagram. There will be two triangles at the ends, aid since 20=30-10, their bases will add up to 10.

    If the triangle with hypotenuse 6 has base x, then the height h of the trapezoid is

    h^2 = 6^2 - x^2
    h^2 = 8^2 - (10-x)^2
    so,
    36 - x^2 = 64 - (10-x)^2
    36-x^2 = 64 - 100 + 20x - x^2
    72 = 20x
    x = 18/5

    h^2 = 36 - (18/5)^2
    h = 24/5

    area = (20+30)/2 * 24/5 = 120

  • math -

    120m

  • math -

    120m^2

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