
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 has a circle inside it that touches all its sides (an inscribed circle). The numerical value of the square’s area is now equal to twice the numerical value of its perimeter. What is the length of a side of the square?

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