
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 form an arrangement around a smaller, inner square such that each rectangle abuts two sides of the square and the exterior forms a larger square. If the area of the outer square is $9$ times the area of the inner square, find the ratio of the length of the longer side to the shorter side of each rectangle.
A) $\sqrt{5}$
B) $\sqrt{7}$
C) $2$
D) $3$
E) $4$

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