
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
A polygon is constructed such that each of its sides is perpendicular to its adjacent sides, all 36 sides are congruent, and the perimeter of the polygon is 72. Find the area of this polygon.

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