
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
In the diagram, what is the perimeter of polygon $PQRSTU$? The vertices have the following coordinates: $P(0,10)$, $Q(5,10)$, $R(5,5)$, $S(10,0)$, $T(0,0)$, and $U(5,0)$. The line segments are $PQ$, $QR$, $RS$, $SU$, $UT$, and $TP$.

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