A geometry problem by Isaac Arce Aguilar

Geometry Level 2

In a square ABCDABCD, EE and FF are the midpoints of sides ABAB and ADAD, respectively. A point GG is taken on segment CFCF in such a way that 2CG=3FG2CG=3FG.

If the side of the square is 22, then what is the area of BEG\triangle{BEG}?

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