SOLUTION: 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?

Algebra ->  Surface-area -> SOLUTION: 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?      Log On


   

Question 1030812: 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?
Answer by ikleyn(52781) About Me  (Show Source):
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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 = %28%28a%2Bb%29%2F2%29%2Ah, or

36 = %28%285%2B7%29%2F2%29%2Ah = 6h.

Therefore, h = 36%2F6 = 6 inches.