The scale model of a rectangular patio will be enlarged by a scale factor of 2.5 to create the actual patio. The actual patio will be 15 feet by 20 feet. Which is the area of the scale model?

48 square feet
60 square feet
120 square feet
300 square feet

120

The answer is 120

The answer is 120 (I think)

15 x 20 = 300
30 divided by 2.5 equals 120.

I mean 300 divided by 2.5 equals 120

120

120 IT EDG

(15 * 20)/2.5 = ?

since each dimension is scaled, the area becomes

(15/2.5)(25/2.5)

area is proportional to scale squared

volume is proportional to scale cubed

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?