Scale Drawing Practice

Scale Drawing Practice

Read each question carefully and show all your work. Use the given scale factors to solve problems involving scale drawings.

1. A map has a scale of 1 cm : 50 km. If two cities are 3.5 cm apart on the map, what is the actual distance between them?

2. A scale model of a car is built with a scale of 1:24. If the actual car is 4.8 meters long, how long is the model in centimeters?

3. If a drawing has a scale of 1:100, then 1 unit on the drawing represents   units in real life.

4. To find the actual length from a scale drawing, you need to   the drawing length by the scale factor.

5. A rectangular park measures 200 meters by 150 meters. If you want to draw this park on a map with a scale of 1 cm = 25 meters, what will be the dimensions of the park on your map?

6. An architect's drawing of a house has a scale of 1:50. A wall in the drawing is 12 cm long. What is the actual length of the wall in meters?

7. A scale of 1 inch = 1 foot means the drawing is larger than the actual object.

8. If the scale factor is greater than 1, the drawing is an enlargement.

9. A rectangular swimming pool is 10 meters long and 5 meters wide. You are asked to create a scale drawing of the pool where the length on the drawing is 20 cm. What scale should you use for your drawing? What will be the width of the pool on your drawing?

10. Consider a triangular garden with sides 6m, 8m, and 10m. Draw a scale diagram of this garden using a scale of 1:200. Clearly label the lengths of the sides on your drawing.