
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
Given square pyramid VWXYZ, the base VWXY measures 4 cm on a side, and the altitude VZ perpendicular to the base measures 8 cm. Point P is located on WZ, one fourth of the way from W to Z; point Q is on XZ, halfway between X and Z; and point R is on YZ, three fourths of the way from Y to Z. Determine the area, in square centimeters, of triangle PQR.

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