
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 designing a garden that will be bordered on three sides by fencing, with the fourth side against her house. She has 400 feet of fencing available. What is the maximum area of the garden?

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