
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
The area of the shaded region is 130 square inches. All angles are right angles and all measurements are given in inches. What is the perimeter of the non-shaded region?

[asy]size(120);
filldraw(((0,0)--(0,10)--(12,10)--(12,-4)--(8,-4)--(8,0)--cycle^^(3,5)--(3,7)--(9,7)--(9,5)--cycle),gray(.6)+fillrule(1),linewidth(1));
label("$3''$",(6.5,-3.5),fontsize(10pt));
label("$4''$",(10,-4.7),fontsize(10pt));
label("$2''$",(4.5,6),fontsize(10pt));
label("$12''$",(6,10.7),fontsize(10pt));
label("$12''$",(13,5),fontsize(10pt));[/asy]

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