
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 regular hexagon $ABCDEF$, points $W$, $X$, $Y$, and $Z$ are chosen on sides $\overline{BC}$, $\overline{CD}$, $\overline{EF}$, and $\overline{FA}$ respectively, so lines $AB$, $ZW$, $YX$, and $ED$ are parallel and equally spaced with one-fourth the distance between each pair of parallel lines. Determine the ratio of the area of hexagon $WCXYFZ$ to the area of hexagon $ABCDEF$.
A) $\frac{1}{4}$
B) $\frac{3}{8}$
C) $\frac{13}{32}$
D) $\frac{2}{5}$
E) $\frac{1}{3}$

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