
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
Two congruent squares $ABCD$ and $XYZW$ have side length $12$. The center of square $XYZW$ coincides with vertex $A$ of square $ABCD$. Calculate the area of the region in the plane covered by these squares.
A) 120
B) 136
C) 144
D) 152
E) 160

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