Question

an art gallery is selling replicas of some famous art work. a copy of the art work is dilated by a scale factor of 1/3 to create a replica of the original piece. if the area of some original artwork was 12 square feet what will be the area of the replica?

Answer 1

4/3 square feet.

Explanation:

To find the area of the replica, you need to use a formula that relates the area of the original figure and the area of the dilated figure by the scale factor1. The formula is:

Area of dilated figure = Area of original figure x (Scale factor)^2

In this case, the area of the original artwork is 12 square feet and the scale factor is 1/3. So, we plug these values into the formula and get:

Area of replica = 12 x (1/3)^2

Area of replica = 12 x 1/9

Area of replica = 4/3

So, the area of the replica is 4/3 square feet.

Hope this helps :)