
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
Tiffany is building a fence around a rectangular garden, needing exactly 400 feet of fencing. The garden must have a length of at least 100 feet and a width of at least 50 feet. She aims to maximize the enclosed area for planting. Determine the optimal area, in square feet, that can be enclosed under these conditions.

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