
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
A rectangle has a perimeter of $p$ and its width is twice the length. What is the area of the rectangle?
**A)** $ \frac{p^2}{18} $
**B)** $ \frac{p^2}{12} $
**C)** $ \frac{p^2}{24} $
**D)** $ \frac{p^2}{30} $
**E)** $ \frac{p^2}{36} $

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