
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 farm, four congruent equilateral triangular pens each with a side length \( s \) are reorganized to form one large equilateral triangular pen using the same amount of fencing. What is the ratio of the total area of the four small pens to the area of the new large pen if the perimeter of the new large pen is three times the perimeter of one small pen?

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