¶ 2004 AMC8 Problem 24
Problem:
In the figure, is a rectangle and is a parallelogram. Using the measurements given in the figure, what is the length of the segment that is perpendicular to and
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Answer Choices:
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Solution:
By the Pythagorean Theorem, . Rectangle has area , and the corner triangles have areas and . So the area of is . Because the area of is and , so .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions