Name _________________________

4.4 Proportions and Scales Drawings

Find actual dimensions using proportions.

1. The scale of the drawing shows that 1” = 5 feet. If the drawing shows the height of the building as 5 inches, how tall is the actual building?

2. The scale of the drawing shows that 2” = 10 feet. If the drawing shows the height of the building as 8 inches, how tall is the actual building?

3. The scale of the drawing shows that 1” = 3 feet. If the drawing shows the height of the tree as 9 inches, how tall is the tree?

4. The scale of the drawing shows that 2” = 7 feet. If the drawing shows that the height of the tree is 6 inches, how tall is the tree?

5. The scale of the drawing shows that 1” = 3 feet. If the drawing shows that the height of the tree house is 3”, how high is the actual tree house?

Find the scale dimensions using proportions.

6. The scale of the map shows that 1” = 50 miles. If the map shows that there is 5” between the two cities, what is the actual distance?

7. The scale of the map shows that 2” = 100 km. If the map shows that there are 3” between the two cities, what is the actual distance between them?

8. The scale of the map shows that 4” = 200 km. If the map shows that there are 5 inches between the two cities, what is the actual distance between them?

9. The scale of the garden design shows that 2” = 3 feet. How big is the garden if the rectangular plot is 4”  6”?

10. The scale of the room design shows that 1” = 2 feet. How big is the actual room if the design shows a square that is 5 inches wide?

Simplify each ratio to find the scale factor.

11. 

12. 

13. 

14. 

15. 

16. 

17. 

18. 

19. 

20.