
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
Jessica is planning to build a rectangular play area for her school, using 500 feet of fencing. The fencing will enclose three sides of the rectangle, with one length and two widths, as the fourth side is adjacent to the school building. What is the maximum area of this play area?

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