KöMaL 2020 C1624

Point $P$ of side $AB$ in a square $ABCD$ is connected to $D$, and point $Q$ of side $BC$ is connected to $A$. The intersection of the resulting line segments is denoted by $R$. The area of triangle $ARD$ is 1200, the area of triangle $APR$ is 600, and the area of quadrilateral $PBQR$ is $3380-240\sqrt{95}$ units of area. What is the area of quadrilateral $RQCD$?