Practice: Scale Drawings

Part A: Finding Actual Dimensions

Directions: Use the given scale to find the actual measurements. Show your work.

Scale: 1 inch = 20 miles

1. On a map, two cities are 6 inches apart. What is the actual distance?

Answer: miles

Scale: 1 cm = 5 meters

2. A room on a blueprint is 8 cm long and 6 cm wide. What are the actual dimensions?

Length: meters Width: meters

Scale: 1/4 inch = 1 foot

3. A wall on a floor plan is 3.5 inches long. What is the actual length of the wall?

Answer: feet

Scale: 1 : 200 (1 unit on drawing = 200 units actual)

4. A building is 15 cm tall on the drawing. What is the actual height in meters?

Answer: meters

Part B: Finding Scale Dimensions

Directions: Use the given scale to find the drawing measurements.

Scale: 1 inch = 50 feet

5. A football field is 300 feet long. How long should it be drawn on the scale drawing?

Answer: inches

Scale: 1 cm = 15 km

6. The distance between two cities is 180 km. How far apart should they be on the map?

Answer: cm

Scale: 1 : 72 (model car scale)

7. A car is 180 inches long. How long should the model be?

Answer: inches

Part C: Finding the Scale Factor

Directions: Determine the scale factor from the given information.

8. Drawing: 4 inches
Actual: 100 feet

Scale: 1 in = ft

9. Drawing: 6 cm
Actual: 90 km

Scale: 1 cm = km

10. Model: 5 inches
Actual: 40 feet

Scale: 1 :

11. Map distance: 3.5 cm
Actual: 70 miles

Scale: 1 cm = miles

Part D: Word Problems

Directions: Read each problem carefully. Show your work.

12. An architect creates a blueprint with scale 1/2 inch = 3 feet. If a bedroom is 12 feet by 15 feet, what are its dimensions on the blueprint?

Blueprint dimensions: in by in

13. On a map with scale 1 inch = 40 miles, the distance from Miami to Orlando measures 5.5 inches. What is the actual distance?

Answer: miles

14. A model airplane has a wingspan of 8 inches. If the scale is 1:48, what is the actual wingspan of the plane in feet?

Answer: feet

15. Sarah wants to draw a map of her neighborhood park. The park is 200 meters by 150 meters. If she uses a scale of 1 cm = 10 meters, what will be the dimensions of the park on her map?

Answer: cm by cm

Challenge: Scale and Area

16. A square room is 4 inches by 4 inches on a blueprint with scale 1 inch = 5 feet.

a) What is the actual size of the room?

b) What is the actual AREA of the room?

c) If the blueprint area is 16 square inches, how does this compare to the actual area?

a) Size: ft by ft

b) Actual Area: square feet

c) The actual area is times the blueprint area