A model of a rectangular patio at a landscaping business will be enlarged by a scale factor of 2 when it is installed in a customer’s back yard. The area of the new enlarged patio will be 160 square feet. Which is the area of the landscaper’s model?

An enlargement by a scale factor of 2 doubles each side length, so the area is multiplied by 2² = 4. The model’s area is 160 ÷ 4 = 40 square feet. Therefore, the landscaper’s model has an area of 40 square feet, choice C.

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