
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 parallelogram $ADEH$, points $B$ and $C$ trisect $\overline{AD}$, and points $G$ and $F$ trisect $\overline{HE}$. Also, $AH$ is perpendicular to $AD$ with $AH=4$ and $AD=3$. What is the area of quadrilateral $WXYZ$ formed by connecting midpoints of segments $AB$, $BC$, $CD$, and $DE$?

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