
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
Two congruent pentagons are each formed by removing a right-angled isosceles triangle from a square of side-length 1. The two pentagons are then fitted together as shown. What is the length of the perimeter of the octagon formed?

A) 4  
B) \(4 + 2 \sqrt{2}\)  
C) 5  
D) \(6 - 2 \sqrt{2}\)  
E) 6

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