
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 field measures 30 meters by 45 meters. An agricultural researcher has 2250 meters of fence that can be used for internal fencing to partition the field into congruent, square test plots. All the field must be partitioned, with the sides of the squares parallel to the edges of the field. Determine the largest number of square test plots into which the field can be partitioned using all or some of the available fence.

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