
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
Rectangle $EFGH$ is 12 cm by 6 cm. $P$ is the point on $\overline{FG}$ such that $FP$ is one-third of $\overline{FG}$, and $Q$ is the midpoint of $\overline{GH}$. What is the number of square centimeters in the area of region $EPHQ$?

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