Problem:
In the figure, the outer equilateral triangle has area , the inner equilateral triangle has area , and the three trapezoids are congruent. What is the area of one of the trapezoids?
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Answer Choices:
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Solution:
The area of the outer triangle with the inner triangle removed is , the total area of the three congruent trapezoids. Each trapezoid has area .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions