Scale Drawings Word Problems Practice

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

Maura is building a 2 ft. tall model of the Gateway Arch in St. Louis, Missouri.  The scale is 3 in : 78.75 ft.  Estimate the height of the actual arch.

• 630

• 600

• 400

• 200

The __________ is the ratio of a length of the image to the corresponding length on the original figure.

• reduction

• enlargement

• scale factor

• center of dilation

The scale model of a building is 6.5 inches tall. How tall is the actual building if the scale used for the model is 1 inch = 150 feet?

• 650 feet

• 840 feet

• 900 feet

• 975 feet

The distance between two cities on a map is 4.125 inches.  Find the actual distance if the scale on the map is 2 inches = 40 miles.

• 165 miles

• 50 miles

• 82.5 miles

• 41.25 miles

A blueprint was using a scale of 3cm=4.5m. Find the actual length if it is 5cm on the drawing.

• 7.5

• 13.5

• 1.5

• 1.7

The scale drawing car length is 3 cm. If the scale is 1 cm:4 ft, what is the actual car length?

• 12 feet

• 16 feet 

• 10 feet

• 4 feet

From Denver to Chicago = 3 in. If the scale is 1 in = 300 miles, find the actual distance.

• 300 miles

• 1000 miles

• 900 miles

• 600 miles

A flagpole is 1 in.= 4 ft. If the pole measures 12 inches, how tall is the actual pole?

• 16 feet

• 3 feet

• 48 feet

• 9 feet

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