Problem:
The area of the shaded region in parallelogram is
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Answer Choices:
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E.
Solution:
The shaded area is the difference of the area of the parallelogram and the area of the unshaded triangle. The area of the parallelogram is . The base of the triangle is and its height is , so its area is . Thus the shaded area is .
The shaded region is a trapezoid with bases and , and height . Its area is .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions