Final answer:
To find the measurements of the bookcase on a scale drawing using the scale 3 cm:2 ft, convert the measurements of the bookcase to centimeters and then use the scale to find the measurements on the scale drawing.
Step-by-step explanation:
To find the measurements of the bookcase on a scale drawing using the scale 3 cm:2 ft, we first need to convert the measurements of the bookcase to the same units as the scale. Since the scale is in centimeters and the bookcase measurements are in feet, we need to convert the feet to centimeters.
The width of the bookcase is 13 feet, which is equivalent to 13 * 30.48 = 396.24 cm. The height of the bookcase is 24 feet, which is equivalent to 24 * 30.48 = 731.52 cm.
Using the scale of 3 cm:2 ft, we can now find the measurements of the bookcase on the scale drawing. The width of the bookcase on the scale drawing would be 396.24 cm * (3 cm/2 ft) = 594.36 cm. The height of the bookcase on the scale drawing would be 731.52 cm * (3 cm/2 ft) = 1097.28 cm.