
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 $ABCD$ has its diagonal $DB$ divided into three segments by two lines $L$ and $L'$, which are parallel to each other and perpendicular to $DB$. Line $L$ passes through $A$, and $L'$ passes through $C$. The segments along $DB$ created by $L$ and $L'$ have lengths $DE = 2$, $EF = 1$, and $FB = 1$. Find the area of rectangle $ABCD$, rounded to one decimal place.
A) $6.8$  
B) $6.9$  
C) $7.0$  
D) $7.1$

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