
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
Four congruent rectangles are arranged around an inner square as shown in the original image. The area of the outer square formed by this arrangement is $9$ times that of the inner square. Determine the ratio of the length of the longer side of each rectangle to the length of its shorter side.
A) 1.5   
B) 2   
C) 2.5   
D) 3

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