
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 segments of lengths $2$, $1$, and $2$ by lines $L$ and $L'$ that are parallel to each other and are perpendicular to $DB$. Line $L$ passes through vertex $A$ and line $L'$ passes through the midpoint of side $CD$. Calculate the area of rectangle $ABCD$, rounded to one decimal place.
A) 9.8
B) 10.6
C) 12.2
D) 13.5
E) 14.4

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