
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
A garden needs to be constructed adjacent to a house, using the house as one side of the boundary. The gardener has 480 feet of fencing available, which will be used to enclose the other three sides of the rectangular garden. Moreover, the length of the garden should be twice its width. What is the maximum possible area of this garden?

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