
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
Richard is planning to enclose a rectangular garden using 480 feet of fencing while the garden borders his house on one side. The fencing will cover only three sides of the garden: two widths and one length. Moreover, the length of the garden must be at least twice as long as the width. What is the maximum area of the garden under these conditions?

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