Question

help please?

Answer 1

A regular pentagon with a perimeter of 18 centimeters is dilated by a scale factor of 3/2 to create a new pentagon. What is the perimeter of the new pentagon?

Answer 2

how much is \( \frac{3}{2}\times18 \)

Answer 3

27

Answer 4

oh so is that how you get the answer?

Answer 5

sorry, i dont think so...(forget that 27)

First you have to find the length of each side of the pentagon

Answer 6

how do i do that?

Answer 7

a regular pentagon has five equal sides

Answer 8

perimeter= sum of length of all sides

Answer 9

so can you calculate length of each side?

Answer 10

3.6?

Answer 11

yes :)

Answer 12

yay :)

Answer 13

now, it scaled by the factor 3/2

Answer 14

so

\(\frac{3}{2}\times 3.6\)

Answer 15

so multiply 3.6 by 1.5?

Answer 16

yes exactly :)

Answer 17

and that's how you get the answer? 5.4!?

Answer 18

yes now 5.4 is the length of each side of the "dialated pentagon".
now find the perimeter of this new pentagon

Answer 19

5.4 divided by 5?

Answer 20

wait no that's not right

Answer 21

remember perimeter = sum of all sides

a regular pentagon has five sides of equal length

length of each side = 5.4 (which u just calculated)

Answer 22

can you calculate perimeter now?

Answer 23

27?

Answer 24

yes :)

whoa! we get the same answer as what we did at first

Answer 25

Ha! Imagine that! Thank you so much for helping me. I've never been that good at math ;)

Answer 26

no prob :)