What is the length of segment ae

Work Shown:

Start at point A' and count how many spaces it takes to get to E'. You should count out 6 spaces. This means A'E' = 6

Since A'E' is 6 units long, and the scale factor is 3/2 = 1.5, this means we can say

x = length of AE

y = length of A'E' = 6

x*1.5 = y

x*1.5 = 6

x = 6/1.5

x = 4

Segment AE is 4 units long