
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 one vertex on each side of square $ABCD$. Point I is on side $AB$ and divides $AB$ in the ratio $3:5$. If each vertex of square $IJKL$ lies on a different side of square $ABCD$, what is the ratio of the area of square $IJKL$ to the area of square $ABCD$?
A) $\frac{17}{64}$
B) $\frac{17}{32}$
C) $\frac{8}{17}$
D) $\frac{32}{17}$
E) $\frac{25}{64}$

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