
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
There are two adjoining rectangles, forming an L-shape. The area of the shaded region within this form is 65 square inches. The dimensions and shape are as follows: the total length of the combined rectangles from end to end is 20 inches and the total width at the widest point is 12 inches. The inner shaded rectangle has dimensions in inches as labeled: width is 5 inches. All rectangles contain right angles. Calculate the perimeter of the unshaded region.

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