what scale is used to draw a 45 ft. wide by 38 ft. long building on a 8.5 inch by 12 inch paper
To determine the scale used to draw the building on the given paper size, we need to compare the dimensions of the building and the dimensions of the paper.
1. Calculate the ratio of the width:
Ratio = Building width / Paper width
Ratio = 45 ft / 8.5 in
To convert feet to inches, we know that 1 ft = 12 in:
Ratio = (45 ft * 12 in/ft) / 8.5 in
Ratio = 540 in / 8.5 in
Ratio ≈ 63.53
2. Calculate the ratio of the length:
Ratio = Building length / Paper length
Ratio = 38 ft / 12 in
Again, convert feet to inches:
Ratio = (38 ft * 12 in/ft) / 12 in
Ratio = 456 in / 12 in
Ratio = 38
3. Compare the width and length ratios to determine the scale:
Since we want the drawing to fit on the paper, the scale should be such that the building is smaller than the paper. Hence, we choose the smaller ratio.
Therefore, the scale used to draw the building on the 8.5 inch by 12 inch paper is approximately 1 inch : 64 inches or 1 inch : 3/4 feet.