
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 square carpet of side length 15 feet contains one large shaded square and twelve smaller, congruent shaded squares. The ratios of the side length of the carpet to the side of the large shaded square, and the large shaded square to a small shaded square, are 5 and 4, respectively. Calculate the total shaded area.

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