
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 a parallelogram, the perpendiculars dropped from one of the vertices to the opposite sides are 12, and one of the diagonals is 15. Find the perimeter of the parallelogram.

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