
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 lengths $AB = 40$ and $BC = 28$. Point $D$ and $E$ are midpoints of $\overline{AB}$ and $\overline{BC}$, respectively. Additionally, point $F$ is at the midpoint of $\overline{AD}$. Calculate the area of the quadrilateral $BFEC$.
A) 650
B) 680
C) 700
D) 720
E) 750

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