
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 park measures $30$ meters by $60$ meters. A landscaper has $2400$ meters of fencing that can be used for internal fencing to partition the park into congruent, square garden plots. The entire park must be partitioned, and the sides of the squares must be parallel to the edges of the park. What is the largest number of square garden plots into which the park can be partitioned using all or some of the 2400 meters of fence?

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