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AIME 2004a Problem 4

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Square ABCDABCD has sides of length 2. Set SS is the set of all line segments that have length 2 and whose endpoints are on adjacent sides of the square. The midpoints of the line segments in set SS enclose a region whose area to the nearest hundredth is kk. Find 100k100k.

Dataset text AIME 1983 to 2026. Quoted with source.

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