
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 L-shaped region shown below, all angles that appear to be right angles are right angles, and each of the ten congruent sides marked with a tick mark have length 2 feet. If the region has an area of 104 square feet, what is the number of feet in the perimeter of the region? [asy]
size(120);
draw((6,9)--(0,9)--(0,0)--(12,0)--(12,4)--(10,4)--(10,6)--(8,6)--(8,8)--(6,8)--cycle);
label("12 ft",(6,0),S);
draw((9.7,4.5)--(10.3,4.5)); draw((7.7,6.5)--(8.3,6.5)); draw((5.7,8.5)--(6.3,8.5));
draw((10.5,3.7)--(10.5,4.3)); draw((8.5,5.7)--(8.5,6.3)); draw((6.5,7.7)--(6.5,8.3));
[/asy]

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