
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
Brian is tasked with constructing a fence around a rectangular dog park. He has exactly 500 feet of fencing available. The fence must enclose all four sides of the park, and regulatory guidelines require that the length of the park must be at least 100 feet and the width must be at least 60 feet. Brian wants the enclosed area to be as large as possible to ensure space for dogs to run freely. Determine the maximum possible area of the enclosure.

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