A regular hexagon with a perimeter of 24 meters is dilated by a scale factor of 5/2 to create a new hexagon. What is the perimeter of the new hexagon?

1 Answer
Mar 1, 2018

#60m#

Explanation:

Linear measurements can just be multiplied by the scale factor.

#5/2 = 2 1/2#
The new hexagon will have a perimeter of #2 1/2# times the original one. Each side will be #2 1/2.# times longer then the original side

#24m xx 5/2 = 60m#

The area will increase by #(5/2)^2#