
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
Jeremy wants to fence a rectangular playground using 156 feet of fencing. The sides of the rectangle are natural numbers. What is the maximum number of square feet that can be enclosed by the fencing?

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