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Hexagon Areas (2023 Geo #1 HMMT Feb)

Source:

February 23, 2023
geometryHMMT

Problem Statement

Let ABCDEFABCDEF be a regular hexagon, and let PP be a point inside quadrilateral ABCDABCD. If the area of triangle PBCPBC is 2020, and the area of triangle PADPAD is 2323, compute the area of hexagon ABCDEFABCDEF.
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