
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
A triangle is partitioned into two smaller triangles and a quadrilateral by drawing two lines from one vertex to the midpoints of the two opponent sides. The areas of the triangles are 6 and 10. Find the area of the quadrilateral.
A) 6
B) 8
C) 10
D) 12
E) 14

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