Square with 2 on a Side

Geometry Level 3

Consider a square \( ABCD \) with side length 2. Let \(E\) be the midpoint of \(AB\), \(F\) the midpoint of \(BC\), and \(P\) and \(Q\) the points at which line segment \(\overline{AF}\) intersects \(\overline{DE}\) and \(\overline{DB}\), respectively.

What is the area of \( EBQP? \)

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