# Proposed by $$Marek$$ $$Pechal.$$

Geometry Level 5

In $$\triangle ABC$$ the bisector of $$\angle BCA$$ intersects the $$\odot ABC$$ again at $$R$$, the perpendicular bisector of $$BC$$ at $$P$$, and the perpendicular bisector of $$AC$$ at $$Q$$. The midpoint of $$BC$$ is $$K$$ and the midpoint of $$AC$$ is $$L$$. Given that $$Ar.\Delta RPK$$ is $$16.4$$ sq. units. Find the value of $$Ar.\Delta RPK\times Ar.\Delta RQL$$, rounded to the nearest integer.

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