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

Answer:

The perimeter of the new pentagon is equal to  $\frac{7}{3}$  times the perimeter of the original pentagon

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 new pentagon

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

so

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

In this problem we have

$z=\frac{7}{3}$

substitute

$\frac{x}{y}=\frac{7}{3}$

$x=\frac{7}{3}y$

therefore

The perimeter of the new pentagon is equal to  $\frac{7}{3}$  times the perimeter of the original pentagon