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22 August, 09:58

A parking lot in the shape of a trapezoid has an area of 12,052.1 square meters. The length of one base is 82.4 meters and the length of the base is 108.6 meters. What is the width of the parking lot

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  1. 22 August, 11:29
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    When you solve for the area of a trapezoid, you have this formula:

    A = ((a + b) / 2) * h

    where: a & b are the bases; h is the height

    We just plug in the figures on the formula to get the needed information.

    A = 12,052.10 square meters

    a = 82.4 meters

    b = 108.6 meters

    12,052.10 = ((82.4 + 108.6) / 2) h

    12,052.10 = 191/2 * h

    12,052.10 = 95.5 * h

    12,052.10 / 95.5 = h

    126.2 = height

    The height of the parking lot is 126.20 meters.
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