
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 placed around a central inner square as shown, where the longer side of each rectangle lies along the sides of the central square. The total area of the configuration (the biggest square formed by the arrangement of rectangles) is $5$ 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) \( 1.5 \)
B) \( \sqrt{3} \)
C) \( 2 \)
D) \( \frac{2}{\sqrt{5} - 1} \)
E) \( 1.732 \)

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