
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 polygon shown, each side is perpendicular to its adjacent sides, and all 32 of the sides are congruent. The perimeter of the polygon is 64. Calculate the area of the polygon, assuming it can be divided into 36 smaller congruent squares.
[asy]
unitsize(0.5 cm);

draw((4,0)--(5,0)--(5,1)--(6,1)--(6,2)--(7,2)--(7,3)--(8,3)--(8,4)--(7,4)--(7,5)--(6,5)--(6,6)--(5,6)--(5,7)--(4,7)--(4,6)--(3,6)--(3,5)--(2,5)--(2,4)--(1,4)--(1,3)--(0,3)--(0,2)--(1,2)--(1,1)--(2,1)--(2,0)--(3,0)--cycle);
[/asy]

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