7. A figure has a perimeter of 12 units. Which

describes the perimeter of the figure after a

dilation with a scale factor of 4?

a. 3 units

b. 24 units

c. 48 units

d. 192 units

Option C

The perimeter of the figure after a dilation with a scale factor of 4 is 48 units

Solution:

Given that figure has a perimeter of 12 units

To find: perimeter of the figure after a dilation with a scale factor of 4

A scale factor is simply a number that multiplies the dimensions of a shape

If the scale factor is four, then the perimeter of the new object will be four times the original perimeter

Here given that scale factor is 4

Therefore,

Perimeter after dilation = 4 times original perimeter

Perimeter after dilation = 4 x 12 = 48 units

Thus Option C is correct