
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 square $ABCD$, point $E$ is on side $AD$ one third of the way from $A$ to $D$, and point $F$ is on side $BC$ two-thirds of the way from $B$ to $C$. If the lengths $BE = 40$ and $EF = FD = 40$, find the area of square $ABCD$.

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