
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 length to the width of a rectangle is 5:4. If the rectangle has a diagonal of length \(d\), then the area may be expressed as \(kd^2\) for some constant \(k\). What is \(k\)?
A) \(\frac{20}{25}\)
B) \(\frac{20}{41}\)
C) \(\frac{21}{41}\)
D) \(\frac{25}{41}\)

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