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26 June, 19:12

Brian cut a piece of cardboard in the shape of a trapezoid the area of the cut out is 43.5 cm² if the bases are 6 cm And 8.5 cm long what is the height of the trapezoid

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  1. 26 June, 19:29
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    Answer: the height of the trapezoid is 6 cm

    Step-by-step explanation:

    The formula for determining the area of a trapezoid is expressed as

    Area = 1/2 (a + b) h

    Where

    a and b are the length of The bases are the 2 sides of the trapezoid which are parallel with one another.

    h represents the height of the trapezoid.

    From the information given,

    a = 6 cm

    b = 8.5 cm

    If the area of the cut out is 43.5 cm², then

    53.5 = 1/2 (6 + 8.5) h

    Cross multiplying by 2, it becomes

    43.5 * 2 = (6 + 8.5) h

    87 = 14.5h

    h = 87/14.5 = 6 cm
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