Question

A regular hexagon is dilated by a scale factor of 7/5 to create a new hexagon. how does the perimeter of the new hexagon compare with the original perimeter?

Answer 1

This is the concept of algebra, let the original length of the hexagon be x, after the dilation the length became x×7/5=7/5x
the perimeter of the original figure is:
6*x=6x 

The perimeter of the enlarged on is:
6*7/5x=8.4x
therefore the perimeter of the new compared to the old will be:
8.4x/6x
=1.4
the new perimeter is 1.4 times the old perimeter