
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 $10 \times 15$ rectangle that is cut into two congruent pentagons, which are then reassembled to form a larger rectangle. If $y$ is one-third the length of the longer side of the newly formed rectangle, what is the value of $y$?
A) $5$
B) $5\sqrt{2}$
C) $10$
D) $7\sqrt{2}$
E) $15$

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