This is too easy.... Right?

Geometry Level 4

A circle touches two adjacent sides of a rectangle \(AB\) and \(AD\) at \(P\) and \(Q\) respectively. The vertex \(C\) of the rectangle lies on the circle. The length of the perpendicular from vertex \(C\) to the chord \(PQ\) is \(\frac{5}{2}\). Find the area of rectangle.

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