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?

Question

asked Oct 11, 2020 104k views

2 Answers

Nam Lee · Answer 1 · 2020-10-18T07:14:52+0000

Answer:

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)

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