Using each of the following scales, find the dimensions in a blueprint of an 8ft-by-12ft room.
1. 1 in.:2ft
2. 1 in.:4ft
I don't get this.
1.
1 in = 2 ft Divide both sides with 2
0.5 in = 1 ft
0.5 * 8 = 4 in
0.5 * 12 = 6 in
4 in by 6 in
2.
1 in = 4 ft Divide both sides with 4
0.25 in = 1 ft
0.25 * 8 = 2 in
0.25 * 12 = 3 in
2 in by 3 in
1. Using the scale 1 in.:2ft, we can convert the dimensions of the room as follows:
8 ft x 2 ft/in. = 16 in. (width)
12 ft x 2 ft/in. = 24 in. (length)
Therefore, the dimensions of the 8ft-by-12ft room on the blueprint would be 16 in. by 24 in.
2. Using the scale 1 in.:4ft, we can convert the dimensions of the room as follows:
8 ft x 4 ft/in. = 32 in. (width)
12 ft x 4 ft/in. = 48 in. (length)
Therefore, the dimensions of the 8ft-by-12ft room on the blueprint would be 32 in. by 48 in.
To find the dimensions of an 8ft-by-12ft room using different scales, we need to multiply the measurements of the room by the corresponding scale factor.
1. Scale: 1 in.:2ft
For this scale, every 1 inch on the blueprint represents 2 feet in real life.
To find the corresponding dimensions on the blueprint:
- Length: Multiply the length of the room (8ft) by the scale factor (2).
8ft * 2 = 16 inches
So, the length of the room on the blueprint would be 16 inches.
- Width: Multiply the width of the room (12ft) by the scale factor (2).
12ft * 2 = 24 inches
Therefore, the width of the room on the blueprint would be 24 inches.
So, using the scale 1 in.:2ft, the dimensions of an 8ft-by-12ft room on the blueprint would be 16 inches by 24 inches.
2. Scale: 1 in.:4ft
For this scale, every 1 inch on the blueprint represents 4 feet in real life.
To find the corresponding dimensions on the blueprint:
- Length: Multiply the length of the room (8ft) by the scale factor (4).
8ft * 4 = 32 inches
Therefore, the length of the room on the blueprint would be 32 inches.
- Width: Multiply the width of the room (12ft) by the scale factor (4).
12ft * 4 = 48 inches
Hence, the width of the room on the blueprint would be 48 inches.
Thus, using the scale 1 in.:4ft, the dimensions of an 8ft-by-12ft room on the blueprint would be 32 inches by 48 inches.