
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
A square field is mowed along one diagonal by a device of a certain width, creating a diagonal stripe. It is known that half of the field's area is mowed. What is the ratio between the side length of the square field and the mowing width of the device?
A) \( \frac{3}{2} \)
B) \( \sqrt{3} \)
C) \( \sqrt{2} \)
D) \( 2\sqrt{2} \)
E) \( 2 \)

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