
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
Given a rectangle \( ABCD \) where \( AB = 2 \) units, \( BC = 4 \) units, and \( E \) is the midpoint of diagonal \( BD \). Point \( F \) is located on \( DA \) such that \( DF = \frac{2}{5}DA \). Determine the ratio of the area of triangle \( DFE \) to the area of quadrilateral \( ABEF \).
A) \( \frac{2}{13} \)
B) \( \frac{3}{13} \)
C) \( \frac{4}{13} \) 
D) \( \frac{5}{13} \)
E) \( \frac{1}{5} \)

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