
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
A new design involves a rectangle and four identical circles, each tangent to two adjacent sides of the rectangle and its neighboring circles. The design is such that the length of the rectangle is twice its width. If the rectangle has a width of 30 inches, determine the total shaded area when the circles are excluded.

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