
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
The ratio of the long side of a certain rectangle to its diagonal is equal to the ratio of the diagonal to half the perimeter of the rectangle. If the rectangle's short side is \(a\) and the long side is \(b\), what is the value of \(\frac{b}{a}\)?
A) 0.5
B) 1
C) 1.5
D) 2
E) 2.5

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