
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 $ADEH$, points $B$ and $C$ bisect $\overline{AD}$, and points $G$ and $F$ bisect $\overline{HE}$. Rectangle dimensions are such that $AH = AC = 3$. What is the area of hexagon $WXYZVU$ formed by connecting points $W$, $X$, $Y$, $Z$, $V$, and $U$ located at the midpoints of segments $\overline{AB}$, $\overline{BC}$, $\overline{CD}$, $\overline{EF}$, $\overline{FG}$, and $\overline{GH}$, correspondingly?

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