Proportional Relationships and Scale Drawings

Desmond measured a city park and made a scale drawing. The scale he used was 1 centimeter : 9 meters. The actual width of the soccer field is 54 meters. How wide is the field in the drawing?

• 6 cm

• 486 cm

• 9 cm

• 54 cm

Alan drew a scale drawing of a house and its lot. The scale he used was 1 millimeter : 5 meters. In the drawing, the lawn in the backyard is 10 millimeters long. What is the length of the actual lawn?

• 50 m

• 2 m

• 10 m

• 5 m

Brody drew a scale drawing of a campsite. He used the scale 1 inch : 3 feet. If the actual width of the tent is 6 feet, how wide is the tent in the drawing?

• 2 in

• 1 in

• 3 in

• 18 in

Kenny drew a scale drawing of a swimming pool. The scale of the drawing was 2 centimeters : 1 meter. If the pool is 26 centimeters in the drawing, how wide is the actual pool?

• 13 m

• 2 m

• 1 m

• 52 m

Find side length X.

• 16

• 18

• 2.4

• 15

On a map, Memphis, Tennessee, and Jackson, Mississippi, are 5 inches apart. The distance between the cities is actually 210 miles.

What scale was used to create the map?

• 42 inches = 1 mile

• 1 inch = 42 miles

• 40 inches = 1 mile

• 
  1 inch = 40 miles

What is the scale factor?

• 4

• 25

• 5

• 6

On a map, the distance between Louisville, Kentucky, and Nashville, Tennessee, is 1 3/4 inches. The scale of the map is 1 in:100 mi. What is the actual distance between the two cities?

• 200 miles

• 175 miles

• 100 miles

• 125 miles

A model of a house was built using the scale 5 in:25 ft. If a window in the model is 1.5 in. wide, how wide is the actual window?

• 90 ft

• 7.5 ft 

• 4.5 ft

• 45 in

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

• 63 m

• 235 m

• 315 m

• 630 m