Question

A regular pentagon is dilated by a scale factor of 73 7 3 to create a new pentagon. How does the perimeter of the new pentagon compare with the original perimeter?

Answer 1

The perimeter of the new pentagon is 7/3 the perimeter of the original pentagon.

Explanation:

The answer and explanation is also in the picture below :)

Answer 2

The perimeter of the new pentagon is equal to
`(7)/(3)` times the perimeter of the original pentagon

Explanation:

we know that

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

Let

z-------> the scale factor

x------> the perimeter of the new pentagon

y-----> the perimeter of the original pentagon

so

`z=(x)/(y)`

In this problem we have

`z=(7)/(3)`

substitute

`(x)/(y)=(7)/(3)`

`x=(7)/(3)y`

therefore

The perimeter of the new pentagon is equal to
`(7)/(3)` times the perimeter of the original pentagon