
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
Two cylindrical poles, with diameters of 4 inches and 20 inches respectively, are aligned side by side and bound together with a wire. What is the length of the shortest wire that can fully enclose both poles?
**A)** $8\sqrt{5} + 14\pi$  
**B)** $8\sqrt{5} + \frac{44\pi}{3}$  
**C)** $16\sqrt{5} + 16\pi$  
**D)** $12\sqrt{3} + 14\pi$  
**E)** $24\pi$

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