
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 parallelogram $ABCD$ where $A(0, 0)$, $B(2, 3)$, $C(5, 3)$, and $D(3, 0)$, let $E$ be the midpoint of diagonal $AC$. Point $F$ is located on side $DA$ such that $DF = \frac{2}{3}DA$. Compute the ratio of the area of triangle $DFE$ to that of quadrilateral $ABEF$.
A) 1.4
B) 1.5
C) 1.6
D) 1.7

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