
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
Given a rectangle with an area equal to \(A\) and a diagonal \(d\), the ratio of the length to the width of the rectangle is:
**A)** \(\frac{d^2}{2A}\) \\
**B)** \(d\) \\
**C)** \(\sqrt{\frac{d^2 + \sqrt{d^4 - 4A^2}}{d^2 - \sqrt{d^4 - 4A^2}}}\) \\
**D)** \(\frac{d^4}{A^2}\)

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