
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
The exact length of fencing that enclosed the three congruent equilateral triangular pens is reused to form one large equilateral triangular pen. What is the ratio of the total area of the three small pens to the area of the new large pen? Express your answer as a common fraction.

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