A poster is 16 inches long and 24 inches wide. It is enlarged so that the shorter side is 24 inches. What is the length of the longer side?
The shorter side was enlarged from 16 inches to 24 inches.
\(\frac{24}{16}=\frac{8 \times 3}{8 \times 2}=\frac{3}{2}\)
It was enlarged 3/2 times.
The longer side was originally 24 inches and was enlarged 3/2 times too.
\(24 \times \frac{3}{2} = 12 \times 3=36\)
The length of the longer side is 36 inches.