
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 square with perimeter \( 4 \) cm can be cut into two congruent right-angled triangles and two congruent trapezia in such a way that the four pieces can be rearranged to form a rectangle.

What is the perimeter, in centimeters, of this rectangle?
A) \( 2 \sqrt{5} \)
B) \( 4 \sqrt{2} \)
C) 5
D) \( 4 \sqrt{3} \)
E) \( 3 \sqrt{7} \)

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