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jmc

geometry junior

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?
problem
(A)
(B)
(C)
(D)
Solution
The area outside the small triangle but inside the large triangle is . This is equally distributed between the three trapezoids. Each trapezoid has an area of .
Final answer
C