
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 rug consists of three differently colored regions. The inner rectangle is 2 feet wide and a uniform 2-foot wide shaded region surrounds each of the larger rectangles. If the areas of these colored regions form an arithmetic progression, what is the length of the inner rectangle?
A) 2 feet
B) 4 feet
C) 6 feet
D) 8 feet
E) 10 feet

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