Problem:
A point is randomly picked from inside the rectangle with vertices , , and . What is the probability that
Answer Choices:
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B.
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E.
Solution:
The point satisfies if and only if it belongs to the shaded triangle bounded by the lines , and , the area of which is . The ratio of the area of the triangle to the area of the rectangle is .
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Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions