
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
Rachel bought 150 feet of fencing to enclose her rectangular garden. The lengths of the sides of the garden must be natural numbers. What is the maximum area that can be enclosed by the fencing?

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