
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
Erin constructs a rectangular window using $6$ equal-size panes of glass. The ratio of the height to the width of each pane is $3:4$. The top and bottom borders of the window are $3$ inches wide, and the side borders along with the ones between the panes are $1$ inch wide each. If the panes are arranged in two rows and three columns, in inches, what are the dimensions of the window?
A) \((12y+6)\times(6y+7)\) inches   
B) \((12y+4)\times(6y+7)\) inches   
C) \((12y+4)\times(6y+5)\) inches   
D) \((12y+3)\times(6y+7)\) inches

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