
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
Sarah is planning to fence a rectangular garden next to her house. She will only fence two lengths and one width, with the other width bordering her house. She has 400 feet of fencing available for this project. What is the maximum area of the garden?

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