
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 rectangular garden has an area of 180 square meters and a length that is three times its width. What is the diameter, in meters, of the largest circular swimming pool the fence enclosing the garden can outline?

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