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2017 preRMO p25, areas inside a rectangle

Source:

August 20, 2019
geometryrectangleareasarea of a triangle

Problem Statement

Let ABCDABCD be a rectangle and let EE and FF be points on CDCD and BCBC respectively such that area (ADE)=16(ADE) = 16, area (CEF)=9(CEF) = 9 and area (ABF)=25(ABF) = 25. What is the area of triangle AEFAEF ?
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