
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
The diagram shows an \(n \times (n+1)\) rectangle tiled with \(k \times (k+1)\) rectangles, where \(n\) and \(k\) are integers and \(k\) takes each value from 1 to 8 inclusive. What is the value of \(n\)?

A) 16  
B) 15  
C) 14  
D) 13  
E) 12

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