The shorter side was enlarged from 16 inches to 24 inches.
[tex]\frac{24}{16}=\frac{8 \times 3}{8 \times 2}=\frac{3}{2}[/tex]
It was enlarged 3/2 times.
The longer side was originally 24 inches and was enlarged 3/2 times too.
[tex]24 \times \frac{3}{2} = 12 \times 3=36[/tex]
The length of the longer side is 36 inches.
