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?
To find the largest possible map that can fit on the page, we need to scale down the dimensions of the original map to fit within the dimensions of the piece of paper.
First, convert the dimensions of the original map from feet to inches:
Original map dimensions: 2 ft by 3 ft
2 ft = 24 inches
3 ft = 36 inches
Next, we need to determine the scale factor by which we are reducing the map:
Width scale factor = 8 in / 24 in = 1/3
Height scale factor = 10 in / 36 in ≈ 0.278
Now, apply the scale factor to the original map dimensions to find the dimensions of the largest possible map that can fit on the page:
Width of the largest possible map = 24 in * 1/3 ≈ 8 in
Height of the largest possible map = 36 in * 0.278 ≈ 10 in
Therefore, the dimensions of the largest possible map that can fit on the page are approximately 8 inches by 10 inches.