
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
Mara is setting up a fence around a rectangular playground. She has exactly 400 feet of fencing material. All four sides of the playground need to be enclosed by the fence. Additionally, the regulations specify that the length of the fence enclosure must be at least 100 feet and the width must be at least 50 feet. Mara aims for the playground area to be as large as possible to allow for different play zones. Determine the maximum possible area, in square feet, that the fence can enclose.

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