Question 935521: 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. What are the dimensions of the medium and large rectangles.
Answer by KMST(5328)   (Show Source):
You can put this solution on YOUR website! The length and width of the small rectangle are
 and  inches respectively.
For the medium rectangle, let the length and width in inches be  and  respectively.
For the large rectangle let the length and width in inches be  and  respectively.
Since they are similar rectangles, length and width are in the same proportion, so
 <---> or
 <---> , and
 <---> or
 <---> .
The medium rectangle cannot have a length of  inches, because that would make the width
 inches, which is not a "whole-number dimension".
The medium rectangle must have a width of  inches, and that would make the length
 inches.
The large rectangle cannot have a width of  inches, because that would make the length
 inches, which is not a "whole-number dimension".
The large rectangle must have a length of  inches, and that would make the width
 inches
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