
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
In rectangle $LMNP$, points $Q$ and $R$ bisect $\overline{LN}$, and points $S$ and $T$ bisect $\overline{MP}$. Given that $LQ = QR = RS = ST = 1$ and $LN = MP = 4$, find the area of quadrilateral $WXYZ$ inside the rectangle formed by joining the midpoints of segments $\overline{LQ}, \overline{QR}, \overline{RS}, \overline{ST}$.

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