Problem:
In trapezoid , the side and are equal. The perimeter of is
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Answer Choices:
A.
B.
C.
D.
E.
Solution:
When the figure is divided, as shown the unknown sides are the hypotenuses of right triangles with legs of and . Using the Pythagorean Theorem yields . The total perimeter is .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions