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Geometry question

Source:

April 12, 2017
geometry

Problem Statement

ABCDABCD is a rectangle. EE is a point on ABAB between AA and BB, and FF is a point on ADAD between AA and DD. The area of the triangle EBCEBC is 1616, the area of the triangle EAFEAF is 1212 and the area of the triangle FDCFDC is 30. Find the area of the triangle EFCEFC.
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