
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 rectangular garden from 400 feet of fencing. The fencing must cover three sides of the garden (the fourth side is bordered by Sarah's garage). What is the maximum area of this garden?

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