
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 placed inside square $WXYZ$ such that each vertex of $IJKL$ lies on each side of square $WXYZ$. Point $I$ is on $WX$ such that segment $WI$ is three times that of $IX$. Determine the ratio of the area of square $IJKL$ to the area of $WXYZ$.
A) $\frac{1}{16}$
B) $\frac{1}{8}$
C) $\frac{1}{4}$
D) $\frac{1}{2}$

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