Square with 2 on a Side

Geometry Level 3

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

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