
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 10-foot by 12-foot floor is tiled with rectangular tiles of size 2 feet by 1 foot. Each tile has a pattern consisting of two white half-circles of radius 1/2 foot centered at the two shorter ends of the tile. The remaining portion, which includes a small isosceles triangle with height and base each 1/2-foot at the center of the long side, is shaded. How many square feet of the floor are shaded?

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