
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 square encloses an octagon in such a way that its vertices divide each side of the square into three equal parts. If the perimeter of the square is 72 centimeters, what is the area of the octagon?

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