What scale would you use for a room that is 12 feet by 15 feet on a 7 inch by 8 inch paper?
To determine the appropriate scale for a room that is 12 feet by 15 feet on a 7 inch by 8 inch paper, we need to calculate the ratio between the dimensions of the room and the dimensions of the paper. The scale is typically represented as a ratio or a fraction.
First, convert the dimensions of the room and the paper to the same unit of measurement. Let's convert them to inches:
Room dimensions: 12 feet * 12 inches/foot = 144 inches by 15 feet * 12 inches/foot = 180 inches.
Paper dimensions: 7 inches by 8 inches.
To find the scale, we divide the longest dimension of the room by the longest dimension of the paper:
Scale = Longest room dimension / Longest paper dimension
= 180 inches / 8 inches
= 22.5
Therefore, the scale for the given room on a 7 inch by 8 inch paper would be 1:22.5, meaning that every 1 inch on the paper represents 22.5 inches in the actual room.