Toedsquare Area

Square $TOED$ with side length $12$ is inscribed in a circle. Let $X$ be a point on minor arc $OE$ such that $TX=\frac{121}{144} DX$ . Denote by $S$ the intersection of $TX$ and $OD$ and by $A$ the intersection of $TE$ and $DX$ . Find the area of quadrilateral $TSAD$