
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
Marcela purchased 200 feet of fencing to enclose two garden areas: one rectangular and one square. She decided to connect the garden areas along one side of the square that has the same length as one side of the rectangle. What is the maximum number of square feet that can be enclosed if the dimensions of the sides are whole numbers?

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