
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 trapezoid $PQRS$, the sides $PQ$ and $RS$ are parallel, and $PR$ and $QS$ are equal. The length of the base $PQ$ is 10 units, and the base $RS$ is 20 units. The height from $PQ$ to $RS$ is 5 units. If the diagonal $PS$ of the trapezoid is 13 units, what is the perimeter of $PQRS$?

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