
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
In a village  $1998$  persons volunteered to clean up, for a fair, a rectangular field with integer sides and perimeter equla to  $3996$  feet. For this purpose, the field was divided into  $1998$  equal parts. If each part had an integer area, find the length and breadth of the field.

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