
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 now has 400 feet of fencing to enclose her rectangular tennis court. The court needs a width of at least 50 feet. She aims to maximize the perimeter given that the area enclosed is 8000 square feet. What is the optimal perimeter?

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