
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 is planning to build a fence around a rectangular playground using exactly 360 feet of fencing. The fence must enclose all four sides of the playground. Regulations require that the length of the fence enclosure must be at least 90 feet and the width must be at least 50 feet. Tiffany wants the area enclosed by the fence to be as large as possible for playing and equipment space. Determine the optimal area, in square feet, that can be enclosed.

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