# Inspiration

Geometry Level pending

In a square $$ABCD$$, two lines are drawn such that one of them connects point $$A$$ to opposite corner $$C$$ while the other line joins point $$B$$ to the midpoint $$E$$ of side $$CD$$. Now these two lines meet at a point $$F$$ inside the square $$ABCD$$. If quadrilateral $$ADEF$$ has an area of 20, determine the area of $$\triangle CEF$$?

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