
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
Wei decides to modify the logo for his new company by using a larger square and additional circles. The new design has six circles, each tangent to two sides of the square and adjacent circles, set within a square frame. If the side length of the new square is 24 inches, determine how many square inches will be shaded.

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