
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
In parallelogram ABCD, calculate the area of the shaded region BEDC, where DE is now parallel to AB, and E is the midpoint of DC. Given that AB = 12, and the height of the parallelogram from A to line DC is 10, and DE = 6.
A) 20
B) 30
C) 40
D) 50
E) 60

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