
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
Wei redesigns his logo, now using a rectangle and three smaller circles. Each circle is tangent to two sides of the rectangle and the other two circles. The rectangle is 30 inches long and 10 inches wide. Calculate the area in square inches that will be shaded after placing the circles.

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