olymmath

HMMT November 2024 T3

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Rectangle RR with area 20 and diagonal of length 7 is translated 2 units in some direction to form a new rectangle R′R^{\prime}. The vertices of RR and R′R^{\prime} that are not contained in the other rectangle form a convex hexagon. Compute the maximum possible area of this hexagon.

Dataset text NuminaMath olympiads. Quoted with source.

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