
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 the diagram, the area of triangle $XYZ$ is 36 square units. What is the area of triangle $YZW$?

[asy]
draw((0,0)--(40,0)--(10,18)--(0,0));
dot((0,0));
label("$X$",(0,0),SW);
label("8",(4,0),S);
dot((8,0));
label("$Y$",(8,0),S);
label("32",(24,0),S);
dot((40,0));
label("$W$",(40,0),SE);
dot((10,18));
label("$Z$",(10,18),N);
draw((8,0)--(10,18));
[/asy]

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