
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 $12 \times 15$ rectangle $EFGH$ is cut into three congruent pentagons, which when repositioned without overlap form a new shape. Determine the side length $z$ of this new shape if it is a hexagon. Each side of the hexagon is of equal length.
A) 8.1
B) 8.2
C) 8.3
D) 8.4
E) 8.5

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