Question

A regular pentagon with a perimeter of 18 centimeters is dilated by a scale factor of 3 2 32 to create a new pentagon. What is the perimeter of the new pentagon?

Answer 1

The perimeter of the new pentagon is
`27\ cm`

Explanation:

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

so

To find the perimeter of the new pentagon, multiply the perimeter of the original pentagon by the scale factor

Let

z ----> the scale factor

`z=3/2=1.5`

The perimeter of the new pentagon is equal to

`(18)*1.5=27\ cm`