
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
Sophia bought 150 feet of fencing to enclose her rectangular playground. The lengths of the playground's sides must be natural numbers. What is the maximum area that Sophia can enclose with the fencing?

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