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?

the area scales by the square of the linear factor. So, 160 is 4 times the model's area.

no help at all Steve.

I think you just divide the original by 2-

just two, not negitive two

To find the area of the landscaper's model, we need to reverse the scale factor of enlargement. Since the area of the enlarged patio is 160 square feet, and it was enlarged by a scale factor of 2, we can divide the area by the scale factor to find the original area.

160 square feet / 2 = 80 square feet

Therefore, the area of the landscaper's model is 80 square feet.