
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 constructing a fence around a new rectangular basketball court. She has 400 feet of fencing available. The length of the fence must be at least 100 feet while the width must be at least 50 feet. Tiffany aims to maximize the area enclosed by the fence to accommodate seating and storage. What is the maximum area, in square feet, she can achieve?

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