Final answer:
The scale factor of the area is 6.25 and the scale factor of the volume is 15.625.
Step-by-step explanation:
To find the scale factor of the area, we need to understand that the scale factor for the perimeter measures the ratio of the changed length to the original length. Since the perimeter is a one-dimensional measurement, the scale factor for the area will be the square of the scale factor for the perimeter. In this case, if the scale factor of the perimeter is 2.5, then the scale factor of the area will be 2.5^2 = 6.25.
Similarly, the scale factor of the volume will be the cube of the scale factor for the perimeter. So, in this case, the scale factor of the volume will be 2.5^3 = 15.625.