Scale Drawings & Scale Factors

Vocabulary

100

This is an equation stating that two ratios are equivalent.

What is a proportion?

200

The ratio of the length in a drawing or model to the length on an actual (real life) object

What is a Scale

300

This is a reduced or enlarged representation of an object, usually accompanied by a comparison of sizes.

What is a Model or a Scale Drawing

400

This is a constant of proportionality.

What is scale factor?

Find the Scale Length

100

Ivan drew a scale drawing of his backyard at a scale of 1in : 3ft. If Ivan's deck is 48 feet wide in real life, what is the width of the deck in the drawing?

16 in

200

Mitch was looking at a blueprint of West Lake that has a scale of 1 cm : 9 m. If the actual width of the building is 90 meters, what is the width of the school in the drawing?

10 centimeters

300

Duncan measured a game room and made a scale drawing. The scale of the drawing was 8 inches : 3 feet. If the actual length of the pool table is 6 feet, how long is the pool table in the drawing?

16 inches

400

Scale: 4 inches = 12 miles. If the drawing length is 13 inches, what is the actual length?

What is 39 miles?

Find the Actual Length

100

Trent measured an Italian restaurand and made a scale drawing with a scale of 1mm : 7 m. If the kitchen is 4mm in the drawing, how long is the actual kitchen?

28 meters

200

Phillip drew a to scale floor plan of his house. If the scale he used was 1in : 4ft, and he drew the driveway 3 inches wide, how wide is the driveway in real life?

12 feet

300

Clayton drew a scale drawing of a neighborhood park at a scale of 5 centimeters : 9 meters. In the drawing, the volleyball court is 10 centimeters long. What is the length of the actual volleyball court?

18 meters

400

Scale: 0.25inches = 6 feet. Actual length is 18 feet, what is the drawing length?

What is 0.75 in?

Find the Scale Used

100

David made a scale drawing of a house. In real life, the garage is 10 meters long. It is 2 millimeters long in the drawing. 

What is the scale of the drawing, 1mm : _________

5 meters

200

Anne made a scale drawing of a house and its lot. The backyard is 5 inches long in the drawing. The actual yard is 50 feet long. 

What scale did Anne use for the drawing?

1in : _____________ 

10 feet

300

Tommy measured a county park and made a scale drawing. The picnic area, which is 86 yards wide in real life, is 43 inches wide in the drawing. 

What scale did Tommy use? 1in : ____________

2 yards

400

A teacher has a globe that has a circumference of 2 ft. If the circumference of the actual earth is 24,901 mi, What scale was used to create the globe?

2 ft : 24,901 mi