Question

A regular pentagon with a perimeter of 21 inches is dilated by a scale factor of 53 5 3 to create a new pentagon. What is the perimeter of the new pentagon?

Answer 1

35 inches

Explanation:

Answer 2

The perimeter of the new pentagon is
`35\ in`

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 dilated pentagon

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

so

`z=(x)/(y)`

we have

`z=(5)/(3)`

`y=21\ in`

substitute and solve for x

`(5)/(3)=(x)/(21)`

`x=21*5/3=35\ in`