
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 rectangle ABCD with A(0,0), B(0,2), C(3,2), and D(3,0). Let E be the midpoint of diagonal BD. Point F is located on DA such that DF=1/4 DA. Calculate the ratio of the area of ∆DFE to the area of quadrilateral ABEF.

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