You are reducing a map of dimensions 2 ft by 3 ft to fit on a piece of paper 8 in. by 10 in. What are the dimensions of the largest possible map that can fit on the page?
assuming you wish to maintain the same aspect ratio
2 ft : 3 ft = 2 in : 3 in = 8 in : 12 in
that won't work since the paper is only 10 inches high
= 20/3 in : 10 in
So the largest map will be 20/3 inches by 10 inches
(note that 10 / (20/3) = 3/2 , which is our needed ratio)