A problem by Efren Medallo

Geometry Level 2

In the figure, ΔABCΔEDF \Delta ABC \cong \Delta EDF with AC=EF=8\overline{AC} = \overline{EF} = 8.

If ΔDEF \Delta DEF is positioned in such a way that DD lies along AB\overline{AB} and the area of polygon ADECADEC is 28,28, what is the length of FC?\overline{FC}?

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