Final answer:
The width of the scale drawing can be calculated using the given width to length ratio of 3:4 and the known scale length of 37 inches. By setting up a proportion and solving for the unknown width, we find that the width of the scale drawing is 27.75 inches.
Step-by-step explanation:
The student's question pertains to finding the width of a scale drawing of a building given a length-to-width ratio and the scale length. Since the length of the scale drawing is 37 inches and the width to length ratio is 3:4, we can find the scale width by setting up a proportion. The proportion is based on the given length-to-width ratio and involves cross-multiplication to solve for the missing width measurement.
To find the width, we apply the following steps: Let's call the width 'w'. The ratio can be written as w/37 = 3/4. We cross-multiply to get 4w = 3 × 37. Dividing both sides by 4 gives us w = 3 × 37 / 4. Therefore, the width of the scale drawing is 27.75 inches. It's important for students to understand how ratios and proportions can be used in practical applications such as creating scale drawings.