
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 rectangular tennis court, needing exactly 400 feet of fencing. The fence must enclose all four sides of the court. Regulation states that the length of the fence enclosure must be at least 100 feet and the width must be at least 50 feet. Tiffany wants the area enclosed by the fence to be as large as possible to accommodate spectator seating and additional amenities. What is the optimal area, in square feet?

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