
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 rectangle has length \( AC = 40 \) units and width \( AE = 24 \) units. Point \( B \) is located one-third of the way from \( A \) to \( C \), and point \( F \) remains the midpoint of \( \overline{AE} \). Determine the area of quadrilateral \( ABDF \).
A) 350
B) 375
C) 400
D) 425
E) 450

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