
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 needs to construct a fence around a rectangular tennis court using exactly 400 feet of fencing. The length of the fence enclosure must be at least 90 feet, and the width must be at least 50 feet. She wants the area enclosed by the fence to be as large as possible to include benches and storage. 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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