Length of a line

Geometry Level 3

The figure above shows a parallelogram \(ABCD.\) \(\overline {CB}\) extended meets \(\overline{AE}\) at a \(90^\circ\) angle and \(\overline{CD}\) extended meets \(\overline{AF}\) at a \(90^\circ\) angle. Given that \(\overline{EB}=3,\overline{BC}=5\) and \(\overline{AB}=4\), find the length of \(\overline{DF}\).

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