
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
Jennifer wants to fence a rectangular garden next to her house, using the house as one of the longer sides of the rectangle. She has 400 feet of fencing available to cover the two shorter sides and the side opposite the house. Determine the maximum area of the garden.

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