
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 garden has each side length of 50 meters. The garden is redesigned to triple the side lengths. Determine the ratio of the original perimeter to the new perimeter.

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