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area chasing in a rectangle

Source: 2023 Czech-Polish-Slovak Match Junior, Team p6 CPSJ

May 5, 2024
geometryareasrectangle

Problem Statement

Given a rectangle ABCDABCD. Points EE and FF lie on sides BCBC and CDCD respectively so that the area of triangles ABEABE, ECFECF, FDAFDA is equal to 11. Determine the area of triangle AEFAEF.
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