# 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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