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Source: 2023 AIME I Problem 5

February 8, 2023
2023 aimeP5geometry

Problem Statement

Let PP be a point on the circumcircle of square ABCDABCD such that PAPC=56PA \cdot PC = 56 and PBPD=90.PB \cdot PD = 90. What is the area of square ABCD?ABCD?