
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 triangle ABC, point F is the midpoint of side BC. In triangle ABF, point D is the midpoint of side AB. In triangle BDF, point E is the midpoint of side DB. If the total area of triangle ABC is 180 square units, find the area of triangle AEF.
A) 45
B) 67.5
C) 90
D) 22.5

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