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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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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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