
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 the diagram, rectangle $ABCD$ is divided into four identical squares. If $ABCD$ has a perimeter of 160 cm, what is its area, in square centimeters?  
[asy]
size(4cm);
pair a = (0, 1); pair b = (4, 1); pair c = (4, 0); pair d = (0, 0);
draw(a--b--c--d--cycle);
draw(shift(1) * (a--d)); draw(shift(2) * (a--d)); draw(shift(3) * (a--d));
label("$A$", a, NW); label("$B$", b, NE); label("$C$", c, SE); label("$D$", d, SW);
[/asy]

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