
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
Alexandra has a large black cube with an edge of 15 feet. She also possesses enough blue paint to cover 500 square feet. Alexandra paints each face of the cube such that the center of each face remains black in a square shape, surrounded by a blue border. What is the area of one of the black squares in square feet?
**A**) 140 square feet
**B**) 141.67 square feet
**C**) 145 square feet
**D**) 150 square feet

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