
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
Suppose $P_1P_2P_3P_4$ is a regular square with side length of $8$, and $Q_i$ is the midpoint of side $P_iP_{i+1}$ for $i=1, 2, 3, 4$ (where $P_5$ is synonymous with $P_1$). Determine the area of quadrilateral $Q_1Q_2Q_3Q_4$.
A) $8$
B) $12$
C) $16$
D) $24$
E) $32$

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