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?

Answer:The dimensions of the largest possible map that can fit on the page are 10 inches by [tex]6\frac{2}{3}[/tex] inches.Step-by-step explanation:You are reducing a map of dimensions 2 ft by 3 ft Lets change them to inches.1 foot = 12 inchesSo, 2 feet = [tex]2\times12=24[/tex] inches3 feet = [tex]3\times12=36[/tex] inchesSo, dimensions are : 24 inches x 36 inches[tex]\frac{24}{36}=\frac{2}{3}[/tex]Since 10 inch will be the longer side, we can find the shorter side by :[tex]\frac{x}{10}=\frac{2}{3}[/tex][tex]3x=20[/tex][tex]x=\frac{20}{3}[/tex]or [tex]x=6\frac{2}{3}[/tex] inchesSo, the dimensions of the largest possible map that can fit on the page are 10 inches by [tex]6\frac{2}{3}[/tex] inches.