
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 10 cm by 6 cm. Point $P$ is the midpoint of $\overline{FG}$, and point $Q$ is the midpoint of $\overline{GH}$. What is the number of square centimeters in the area of region $EPHQ$?

[asy]
draw((0,0)--(50,0)--(50,30)--(0,30)--cycle);
draw((0,30)--(25,0)--(50,15)--cycle);
label("$E$",(0,30),N);
label("$F$",(50,30),N);
label("$G$",(50,0),S);
label("$H$",(0,0),S);
label("$P$",(50,15),E);
label("$Q$",(25,0),S);
[/asy]

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