
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
Rectangle $PQRS$ is 10 cm by 6 cm. Let $T$ be the point on $\overline{QR}$ such that $QT = \frac{1}{3}QR$, and $U$ be the point on $\overline{RS}$ such that $RU = \frac{2}{3}RS$. What is the area of region $PTUS$?

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