
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 rectangle is divided into three smaller congruent rectangles as shown. Each smaller rectangle is similar to the large rectangle. In each of the four rectangles, what is the ratio of the length of a longer side to that of a shorter side? 

A) $2 \sqrt{3}: 1$  
B) $3: 1$  
C) $2: 1$  
D) $\sqrt{3}: 1$  
E) $\sqrt{2}: 1$

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