Proposed by $Marek$ $Pechal.$

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.