You are reducing a map of dimensions 2 ft by 3 ft to fit to a piece of paper 8 in. by 10 in. What are the dimensions of the largest possible map that can fit on the page?

24 --> 8 which is 3 big to 1 small

36 --> 10 which is 3.6 big to 1 small
so to keep the proportions we must reduce dimensions by 3.6/1
8*3.6 = 28.8
10*3.6 = 36

You are reducing a map of dimensions 2 ft by 3 ft to fit to a piece of paper 8 in. by 10 in. What are the dimensions of the largest possible map that can fit on the page?

To find the dimensions of the largest possible map that can fit on the page, we need to ensure that both the length and width of the map are smaller than or equal to the corresponding dimensions of the piece of paper.

First, let's convert the dimensions of the piece of paper from inches to feet for consistency. Since there are 12 inches in 1 foot, the dimensions of the paper in feet are 8 in. ÷ 12 = 0.67 ft and 10 in. ÷ 12 = 0.83 ft.

Next, we compare the converted dimensions of the paper with the original dimensions of the map. The map has dimensions of 2 ft by 3 ft.

Since 2 ft is less than 0.67 ft, we can use 2 ft as the maximum length on the paper.

Since 3 ft is less than 0.83 ft, we can use 3 ft as the maximum width on the paper.

Therefore, the dimensions of the largest possible map that can fit on the page are 2 ft by 3 ft.