
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
Square $IJKL$ is inside square $WXYZ$ such that each side of $IJKL$ can be extended to pass through a vertex of $WXYZ$. Square $WXYZ$ has a side length of 10 and $WI$ equals $\sqrt{2}$. What is the area of the inner square $IJKL$?
A) 36
B) 49
C) 64
D) 81

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