
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 carpet is designed with three differently colored regions. The area of each region forms an arithmetic sequence. The innermost rectangle has a width of 2 feet, and each of the two differently colored surrounding regions is 2 feet wide on all sides. Determine the length of the inner rectangle in feet.
A) 2 
B) 4 
C) 6 
D) 8 
E) 10

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