Proportional Reasoning with Scale Drawings

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

The scale of a mug in a picture is ½ in.=3 cm. Find the actual length of the 4 in. coffee mug.

• 24 cm

• 6 cm

• 30 cm

• 13 cm

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

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 for this house plan is 1 : 150

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

Kenny drew a scale drawing of a swimming pool.

The scale of the drawing was 2 cm : 1 m. If the pool is 26 cm in the drawing, how long is the actual pool?

• 13 m

• 2 m

• 1 m

• 52 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

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