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The lid on a ceramic box is in the shape of a trapezoid. The area of the lid is 36 square inches. The bases of the lid are 5 inches and 7 inches. What is the height of the lid?
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The area of a trapezoid is the product of the measure of its mid-line by the height:
S = , or
36 = = 6h.
Therefore, h = = 6 inches.