
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
Diagonal AC of rectangle ABCD is divided into four segments of lengths 2, 1, 2, and 1 by parallel lines M and N that pass through B and D, perpendicular to AC. Calculate the area of rectangle ABCD.
A) 15
B) 16
C) 18
D) 20
E) 22

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