
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 a smaller square such that each rectangle touches two sides of the small square and the outer boundary forms a larger square. If the area of the outer square is $9$ times that of the inner square, what is the ratio of the length of the longer side of each rectangle to the length of its shorter side?
A) 1
B) 1.5
C) 2
D) 2.5
E) 3

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