Proportional Relationships and Scale Drawings

The original perimeter of a rectangle is 30cm, if we enlarge it by a scale factor of 4 what is the new perimeter?

• 120

• 480

• 1920

If the perimeter of a rectangle was 20in and now it is is 80in, what is the scale factor that was used?

• 4

• 2

• 40

• 20

This scale drawing shows a parking lot. What is the actual (real) length of the longer side of the lot? 

• 63 m

• 235 m

• 315 m

• 630 m

On a map, the distance between two towns in 2.6 cm. The scale of the map is

1 cm : 50 km. What is the actual distance between the two towns?

• 100 km

• 130 km

• 70 km

• 150 km

A blueprint was using a scale of 1 : 150.

Find the actual length if it is 5 cm on the drawing.

• 7.5 m

• 750 m

• 7.5 cm

• 75 cm

David measured a city park and made a scale drawing.

The scale he used was 1 : 900. The actual width of the soccer field is 54 metres. How wide is the field in the drawing? (give your answer in cm)

Scale is 1cm = 8km. Hatboro and Smithville are 24 cm apart on the map, what is the actual distance between the 2 cities?

The scale of a map says that 1 : 250 000.

What is the actual number of kilometers that is represented by 4 cm on the map? (remember to convert your answer into km!)

• 6 km

• 13 km

• 12 km

• 10 km

The scale for this house plan is 1 : 150

What is the actual length of the main bedroom in metres?

Pam drew a scale drawing of a game room. She drew a pool table with a length of 5 cm to represent the actual length of 2.5 m. What is the scale factor Pam used?

• 1 : 50

• 2 : 1

• 1 : 2

• 1 : 25