An artist drew a painting with similar rectangles with whole- number dimensions in inches. the small rectangle is 8 inches by 3 inches. One dimension of the medium rectangle is 9 inches. One dimension of the large rectangle is 32 inches.

A. find the dimensions of the medium rectangle. Justify your response.
B. Find the dimensions of the large rectangle. Justify your response.
How do I start to solve this.

assuming you want integer ratios,

the medium rectangle must be 3 times as large, or 24x9

Similarly, since 3 does not divide 32, and 8 does, the large one is 32x12