Problem
TxO Math Bowl 2024 - Guts Contest - Set 6 Problem 3
In rectangle ABCD, denote O as the center of the circle circumscribing ABCD, and let E \neq B be the point on \overline{AB} such that E lies on the circumcircle of \triangle OBC. Given that OE = 3 and AE = 5, and the area of ABCD is K, compute 100K.
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