
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 $IJKL$ has its vertices such that each vertex lies on one side of a larger square $WXYZ$. Point $I$ is on $WX$ such that $WI$ is half of $IX$. If the side length of square $WXYZ$ is 10 units, find the ratio of the area of square $IJKL$ to the area of square $WXYZ$.
A) $\frac{50}{81}$
B) $\frac{64}{81}$
C) $\frac{10}{9}$
D) $\frac{25}{9}$
E) $\frac{100}{81}$

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