Section 12.5: Scale Drawings — Practice Questions

1. 1. On a blueprint, the scale is 1 inch = 5 feet. A rectangular patio has a length of 4 inches on the drawing. What is the actual length of the patio in feet? The actual length is ___ feet.

2. 2. A model of a car is 5 inches long. The actual car is 15 feet long. What is the scale of the model?

   • A. 1 inch = 3 feet
   • B. 1 inch = 5 feet
   • C. 1 inch = 15 feet
   • D. 1 inch = 36 feet

3. 3. On a map, the scale is 1 cm = 40 km. The distance between two towns on the map is 3.5 cm. What is the actual distance between the towns? The actual distance is ___ km.

4. 4. A soccer field is 100 yards long. If you create a scale drawing using the scale 1 inch = 20 yards, how long should the field be in the drawing? The drawing length is ___ inches.

5. 5. The scale on a map is 1 inch = 50 miles. The map distance between two cities is 2.5 inches. Which proportion correctly finds the actual distance, $d$, in miles?

   • A. $\frac{1}{50} = \frac{d}{2.5}$
   • B. $\frac{1}{2.5} = \frac{d}{50}$
   • C. $\frac{50}{1} = \frac{2.5}{d}$
   • D. $\frac{1}{50} = \frac{2.5}{d}$

6. 6. A map uses a scale of 1 cm = 25 km. The distance between two towns on the map is 3 cm. What is the actual distance between the towns in kilometers? ___ km

7. 7. A blueprint for a house has a scale of 1 inch = 5 feet. If a wall is 25 feet long in reality, how long should it be on the blueprint in inches? ___ inches

8. 8. A model airplane is built using a scale of 1:50. If the model is 20 cm long, what is the actual length of the airplane in meters? ___ m

9. 9. A scale drawing of a building uses the ratio 1:400. A wall is 8 cm long on the drawing. What is the actual length of the wall in meters?

   • A. 32 m
   • B. 320 m
   • C. 3.2 m
   • D. 50 m

10. 10. A floor plan has a scale of 1 inch = 3 feet. A room is 6 inches long on the plan. What is the actual length of the room?

    • A. 2 feet
    • B. 9 feet
    • C. 18 feet
    • D. 24 feet