
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 $PQRS$ has one vertex on each side of square $WXYZ$. Point $P$ is on $WZ$ such that $WP = 3\cdot PZ$. What is the ratio of the area of $PQRS$ to the area of $WXYZ$?
A) $\frac{9}{64}$
B) $\frac{1}{4}$
C) $\frac{1}{8}$
D) $\frac{1}{16}$
E) $\frac{1}{32}$

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