CAT 2025 Geometry & Mensuration — Previous Year Question

In a circle with center $C$ and radius $6 \sqrt{2} \mathrm{~cm}, P Q$ and $S R$ are two parallel chords separated by one of the diameters. If $\angle P Q C=45^{\circ}$, and the ratio of the perpendicular distance of $P Q$ and $S R$ from $C$ is $3: 2$, then the area, in sq. cm , of the quadrilateral $P Q R S$ is