
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 diagram shows a triangle joined to a square to form an irregular pentagon. The triangle has the same perimeter as the square. 

What is the ratio of the perimeter of the pentagon to the perimeter of the square?
A 2:1
B 3:2
C 4:3
D 5:4
E 6:5

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