
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
The number of centimeters in the perimeter of a rectangle is twice the number of square centimeters in its area. Find the dimensions of the rectangle if one side is twice the length of the other.

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