
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 rectangular vegetable garden is enclosed by a fence that is 36m long. What are the dimensions (length and width) of the rectangle when the area of the vegetable garden is maximized? What is the maximum area?

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