
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 rectangular carpet of dimensions 12 feet by 18 feet is designed with one large shaded rectangle and twelve smaller, congruent shaded squares. The large shaded rectangle is centrally located, and the smaller shaded squares are evenly distributed around it. If the ratios between the long side of the rectangle (18 feet) and the side length of the large shaded rectangle $\text{R}$ is 2, and the ratio between the side length of the large shaded rectangle $\text{R}$ and the side length of the smaller shaded squares $\text{S}$ is 4, what is the total shaded area?

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