
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 point $E$ divides side $\overline{CD}$ of rectangle $ABCD$ in the ratio 1:3, where $C$ is closer to $E$ than $D$ is, and $\overline{BE}$ meets diagonal $\overline{AC}$ at $F.$ If the area of quadrilateral $AFED$ is $36,$ find the area of rectangle $ABCD$.

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