
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 plans to fence a rectangular garden next to her house, using the house as one side of the garden. She has 500 feet of fencing available and decides to fence only three sides of the garden, the two widths, and one length opposite to the house. Find the maximum possible area of this garden.

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