
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
Alex is designing a fence around a rectangular playground. He has exactly 400 feet of fencing material. The playground must be enclosed on all four sides. Regulations require that the length of the playground must be at least 100 feet and the width must be at least 60 feet. Alex wants to maximize the playground area to include various play equipment and sitting areas. Determine the optimal area, in square feet.

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