A piece of carpet is 8 feet wide and 12 feet long. The carpet needs to be reduced by a scale factor so that the reduced carpet is 2 feet wide. What is the area of the reduced carpet?

The width changes from 8 feet to 2 feet, so the scale factor is 2 ÷ 8 = 1/4. Apply that factor to the length: 12 × 1/4 = 3 feet. The reduced carpet’s area is 2 × 3 = 6 square feet, so the correct choice is 6 square feet.

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