olymmath

AIME 2023a Problem 5

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Let PP be a point on the circle circumscribing square ABCDABCD that satisfies PA⋅PC=56PA \cdot PC = 56 and PB⋅PD=90.PB \cdot PD = 90. Find the area of ABCD.ABCD.

Dataset text AIME 1983 to 2026. Quoted with source.

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106

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