Answer:
The shorter side should be 3 inches
Explanation:
Let, the longer side of the image be 'x'.
We have the flag with dimensions 4 inch by 8 inch.
It is given that the flag and its enlarged image are similar.
Since, 'similar figures have the ratio of the sides equal'.
So, we get,
![(4)/(8)=(x)/(6)](https://img.qammunity.org/2020/formulas/mathematics/high-school/mn80ly2cln8a950cd3s7ksqc23zh4m6xyb.png)
i.e.
![x=(4* 6)/(8)](https://img.qammunity.org/2020/formulas/mathematics/high-school/4pdr1mml6fba6wunwhqdbxdx5xbv5llrcj.png)
i.e.
![x=(24)/(8)](https://img.qammunity.org/2020/formulas/mathematics/high-school/vfamryfyyh9iia07jcvrh7ttc8z7h0ducl.png)
i.e. x = 3 inches.
Thus, the shorter side should be 3 inches so that the flag and its image are similar.