
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
In rectangle $ABCD$, diagonal $DB$ is divided into three segments by parallel lines $L$ and $L'$ which pass through $A$ and $C$ and are perpendicular to $DB$. The lengths of these segments from $D$ to $B$ are 2, 1, and 1 respectively. Find the area of rectangle $ABCD$, rounded to the one decimal place.
A) 6.7 
B) 6.8 
C) 6.9 
D) 7.0
E) 7.1

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