Question

Square A is dilated by a scale factor of 6.6 using the origin as the center of dilation to create square B. Which statement about the area and perimeter of square B is true?

a) The area and perimeter of square B are both multiplied by 6.6.
b) The area of square B is multiplied by 6.6, but the perimeter remains the same.
c) The perimeter of square B is multiplied by 6.6, but the area remains the same.
d) Both the area and perimeter of square B remain the same.

Answer 1

The area of square B is multiplied by 6.6, but the perimeter remains the same.

Step-by-step explanation:

The area of square B is multiplied by 6.6, but the perimeter remains the same. When a figure is dilated with a scale factor of k, the area of the dilated figure is multiplied by k^2 and the perimeter remains the same. In this case, the scale factor is 6.6, so the area of square B is multiplied by 6.6^2 = 43.56.