
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 $9\times27$ rectangle $ABCD$ is cut into two congruent hexagons in such a way that the two hexagons can be repositioned without overlap to form a square. What is the value of $y$, if $y$ is one third the width of rectangle $ABCD$?
A) 6  
B) 7  
C) 8  
D) 9  
E) 10

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