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

Answer:

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

Step-by-step 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

$z=\frac{x}{y}$

we have

$z=\frac{5}{3}$

$y=21\ in$

substitute and solve for x

$\frac{5}{3}=\frac{x}{21}$

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

Answer 2

Answer:

35 inches

Step-by-step explanation: