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2023 MOAA Gunga P8

Source:

October 15, 2023
MOAA 2023

Problem Statement

Let ABCDABCD be a parallelogram with area 160. Let diagonals ACAC and BDBD intersect at EE. Point PP is on AE‾\overline{AE} such that EC=4EPEC = 4EP. If line DPDP intersects ABAB at FF, find the area of BFPCBFPC.
Proposed by Andy Xu
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