UKMT Junior Kangaroo, 2023

The diagram shows a square $PQRS$ with area $120\text{ cm}^2$. Point $T$ is the mid-point of $PQ$. The ratio $QU:UR = 2:1$, the ratio $RV:VS = 3:1$ and the ratio $SW:WP = 4:1$. What is the area, in $\text{cm}^2$, of quadrilateral $TUVW$?

(A) $66$ (B) $67$ (C) $68$ (D) $69$ (E) $70$