
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 an irregular shaped tennis court. She now has 400 feet of fencing available. The local regulations state that the length of the fence enclosure must be at least 100 feet and the width must be at least 50 feet. Tiffany wishes to maximize the area enclosed by the fence to include seating areas and storage. How much area can she maximize under these conditions?

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