
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 encloses a square such that the ratio of the width of the rectangle to a side of the square is $3:1$. The ratio of the rectangle's length to its width is $3:2$. What percent of the rectangle's area is occupied by the square?
A) 5%
B) 7.41%
C) 10%
D) 12.5%
E) 15%

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