
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
Consider a rectangular pattern consisting of 10 black and 22 white square tiles, in a 4x8 rectangle. Add a border of black tiles, such that 2 additional rows of black tiles are added to both the length and width of the rectangle. Calculate the new ratio of black tiles to white tiles.
**A)** $\frac{38}{22}$  
**B)** $\frac{10}{32}$   
**C)** $\frac{19}{11}$  
**D)** $\frac{32}{60}$

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