Question

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?

A. 10
B. 20
C. 40
D. 80

Answer 1

C. 40

Explanation:

Area of model x (scale factor)^2 = Area of enlarged

`A(2)^(2) = 160\\ 4A = 160\\4A/4 = 160/4\\A = 40`