
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
Hexagonal pyramid FGHJKLM has base GHJKLM with each side measuring 4 cm, and altitude FN perpendicular to the base, which measures 8 cm. Point P lies on GN, one quarter of the way from G to N; point Q lies on LN, one quarter of the way from L to N; and point R lies on JN, halfway from J to N. Determine the area of ∆PQR.

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