Answer:
The measure of side FG is 3.
Step-by-step explanation:
Dilation is a process in which the dimensions of a given shape or figure is either increased or decreased by a scale factor to produce its image.
From the given question,
scale factor = 5
measure of side F'G' = 15
Thus,
scale factor = [tex]\frac{measure of side F'G'}{measure of side FG}[/tex]
side F'G' = scale factor x side FG
⇒ 15 = 5 x side FG
So that,
side FG = [tex]\frac{15}{5}[/tex]
= 3
The measure of side FG is 3.