
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
If a rectangle has its short side length \(a\) and long side length \(b\), and the ratio of the difference between its short side and long side to the sum of its sides is equal to \(\frac{1}{3}\), what is the value of the square of this ratio \(\left( \frac{a}{b} \right)^2\)?
A) 1
B) 2
C) 3
D) 4

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