
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 lady found herself in a predicament: she wanted to send a package to her son, but only had 3 meters and 60 centimeters of rope, excluding the knots. The rope needs to wrap around the package once lengthwise and twice widthwise.

What is the largest rectangular package that the lady can send under these conditions?

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