
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Triangle $PQR$ has sides $PQ = 40$ and $PR = 20$. The area of triangle $PQR$ is $150$. Let $S$ be the midpoint of $\overline{PQ}$, and let $T$ be the midpoint of $\overline{PR}$. An angle bisector of $\angle QPR$ intersects $\overline{ST}$ and $\overline{QR}$ at points $U$ and $V$, respectively. What is the area of the quadrilateral $SUVQ$?
**A)** 90
**B)** 92.5
**C)** 93.75
**D)** 95

Present the answer in LaTex format: \boxed{Your answer}
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