
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 diagram provided, there are two tangent circles within a rectangle. The smaller circle has a radius of 3 feet, and the larger circle has a radius of 5 feet. The distance from the left boundary of the rectangle to the point where the two circles touch is 3 feet. The rectangle's length is 20 feet, and its height is 10 feet. Determine the total shaded area not occupied by the circles in the rectangle.

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