
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
 $ABCD$  forms a rhombus.  $E$  is the intersection of  $AC$  and  $BD$ .  $F$  lie on  $AD$  such that  $EF$  is perpendicular to  $FD$ . Given $EF=2$  and  $FD=1$ . Find the area of the rhombus  $ABCD$ 

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