Using Proportional Reasoning with Scale Drawings

Proportions using scale drawings

Use these notes and solve the following proportion scale problems.

Multiple Choice

Scale: 1in.=7ft. The actual width of the backyard is 49 ft, how wide is it in the drawing?

• 14 in 
• 7 in
• 42 in
• 56 in

Multiple Choice

Jamie made a scale drawing of his apartment building.  The building is 300 ft tall.  He wants his scale to be 1 inch : 10 ft.  How tall should his building be in his scale drawing?

• 25 inches
• 60 inches
• 1/30 inch
• 30 inches

Multiple Choice

How many cm would the model of the arch be?

• 40 cm
• 44 cm
• 46 cm
• 48 cm

Multiple Choice

A model of a car has a scale of 3 cm: 2 m. The length of the actual hood of the car is 1 m. What is the length of the hood of the model?

• 1.5 m
• 1.5 cm
• 15 cm
• 6 cm

Multiple Choice

Using 2 in = 35 miles, solve:  The distance between Troy City and Ben City is 315 miles. How far apart are they on the map?

• 18 miles
• 18 inches
• 5512.5 inches
• 5512.5 miles