
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
A square is placed in the coordinate plane. Upon investigation, it is found that the $y$-coordinates of the vertices are $1$, $1$, $6$, and $6$. Determine the area of this square.
A) 20
B) 24
C) 25
D) 30
E) 36

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