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The perimeter of a trapeziumbis 52 …

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The perimeter of a trapeziumbis 52 cm and its non - parallel side is equal to 10 cm with its height 8 cm. Find its area.

    • Posted by Jasmine Bhatra 6 years, 2 months ago

    CBSE > Class 08 > Mathematics
    • 2 answers

    Ashutosh Pathak 6 years, 1 month ago

    128

    0Thank You

    Yogita Ingle 6 years, 2 months ago

    Using Pythagoras' theorem, substitute in the values of the non-parallel side and the altitude:
    10² = 8² - x²
    x² = 36
    x = 6

    Therefore the base of the right-angled triangles is 6cm.

    If we let the shorter parallel side of the trapezium = x, the longer parallel side will = x + 12.

    P = x + x + 12 + 10 + 10 = 52
    2x = 20
    x = 10

    Therefore the side lengths of the trapezium are 10, 10, 10 and 22.

    A = h/2(a + b)
    = 8/2 x 32
    = 4 x 32
    = 128cm²

    1Thank You

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