
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
Five identical squares and one rectangle are arranged to form a larger rectangle. The length of the larger rectangle is three times its width. If the width of the rectangle equals the side length of each square, determine the ratio of the length to the width of the included rectangle.

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