
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 measures 12 feet by 18 feet. It contains a central rectangle shaded area and twelve smaller shaded squares evenly distributed around it. If the ratio $18:\text{R}$ is 2 and the ratio $\text{R}:\text{S}$ is 4, where $\text{R}$ and $\text{S}$ are the side lengths of the shaded rectangle and squares respectively, determine the total shaded area.

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