# A geometry problem by Lee Dongheng

Geometry Level 2

The figure shows a square $$ABCD$$. $$E$$ and $$F$$ are selected on $$BC$$ and $$CD$$ respectively such that $$\angle DAF=\angle EAF$$, $$AE=202$$, $$BE=116$$, find the length of $$DF$$.

Note: The figure is not drawn to scale.

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