
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 a staircase-shaped region below, where all angles that appear to be right angles are indeed right angles, and each of the six congruent sides marked with a tick mark has a length of 2 feet. The region forms part of a larger rectangle where two sides are extended to create this rectangle. If the area of this staircase-shaped region is 162 square feet, what is the number of feet in	the perimeter of the region?
[asy]
size(120);
draw((5,9)--(0,9)--(0,0)--(12,0)--(12,3)--(10,3)--(10,6)--(8,6)--(8,9)--cycle);
label("12 ft",(6,0),S);
draw((11.7,3.5)--(12.3,3.5)); draw((9.7,6.5)--(10.3,6.5)); draw((7.7,9.5)--(8.3,9.5));
draw((12,2.7)--(12,3.3)); draw((10,5.7)--(10,6.3)); draw((8,8.7)--(8,9.3));
[/asy]

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