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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