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10 December, 05:39

A counter top is in the shape of a trapezoid. The lengths of the bases are 70 1/2 and 65 1/2 inches long. The area of the counter top is 1,224 square inches. Find the height of the counter top

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  1. 10 December, 09:23
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    For the trapezoid, the equation used to solve for the area is,

    A = (0.5) (b₁ + b₂) (h)

    where b₁ and b₂ are the measure of the bases and h is the height. Substituting the known values above,

    1224 = (0.5) (70.5 + 65.5) (h)

    h = 18

    Thus, the height of the counter top is 18 inches.
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