Problem

2018 Fermat Problem 9

In the diagram, $PQRS$ is a rectangle with $SR = 15$ . Point $T$ is above $PS$ and point $U$ is on $PS$ so that $TU$ is perpendicular to $PS$ . If $PT = 10$ and $US = 4$ and the area of $PQRS$ is $180$ , what is the area of $\triangle PTS$ ?

$\textbf{(A)}\ 60\quad$ $\textbf{(B)}\ 36\quad$ $\textbf{(C)}\ 48\quad$ $\textbf{(D)}\ 24\quad$ $\textbf{(E)}\ 12$

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Category: Fermat
Points: 1
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