
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
Consider two shapes made up of unit squares. The first shape is a rectangle 4 units long and 3 units wide. Inside this rectangle, an additional vertical line divides one of its halves into two rectangles each 2 units long. The second shape is a simple 6x1 rectangle. What is the positive difference in their perimeters?

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