
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 triangle $XYZ$, $M$ is the midpoint of $XY$, $N$ is the midpoint of $XM$, and $O$ is the midpoint of $NX$. If the area of triangle $XYZ$ is $162$ square units, find the area of triangle $XOY$.
A) 18.0
B) 20.25
C) 24.5
D) 36.0

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