Question

A regular hexagon with a perimeter of 45 meters is dilated by a scale factor of 43 to create a new hexagon. What is the perimeter of the new hexagon?

Answer 1

27
45/43 * 43/45 = 27
dilation works this way

Answer 2

Given is a regular hexagon whose perimeter is 45 meters.

Given is the scale factor of dilation = 43.

Perimeter of any shape is directly proportional to scale factor of dilation.

So perimeter of new hexagon would be equal to product of scale factor and perimeter of original hexagon.

New Perimeter = Scale Factor x Original value.

New Perimeter = 43 x 45 = 1,935 meters

Hence, perimeter of new hexagon is 1,935 meters.