
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
Catherine is designing a garden adjacent to her house using 400 feet of fencing. She plans to fence only two sides of the garden (along with one back side parallel to the house). What is the maximum possible area of this garden?

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