Scale Drawings

The rectangle below is dilated by a scale factor of 3.6 to create a new rectangle. Which of the following could be the dimensions of the new rectangle?

• 14.4 cm x 5.4 cm

• 5.4 cm x 7.2 cm

• 7.2 cm x 1.8 cm

• 14.4 cm x 7.2 cm

Two boxes of tissues are similar in shape and size. The larger tissue box is dilated by a scale factor of 0.5 to create the smaller tissue box. What are the measurements of the smaller tissue box?

• y = 6 in, z = 3.5 in

• x = 3.25 in, y = 6 in

• x = 3.5 in, y = 6 in

• y = 6 in, z = 2.75 in

The picture below is being enlarged by a scale factor of 2.5. How many inches of framing will the picture require?

• 12.5 in

• 20 in

• 45 in

• 65 in

A map uses the scale (3/4) of an inch to represent 3 miles. If the actual distance between two cities is 25 miles, then what is the length on the map?

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

• 87 km

• 216 km 

• 33 km

• 192 km

On a map, if one centimeter represents 25 kilometers, how many kilometers does 7 centimeters represent?

• 175

• 185

• 200

• 220

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

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

Using 2 in = 35 miles, solve:  The distance between Troy City and Ben City is 315 miles. How far apart are they on the map?

• 18 miles

• 18 inches

• 5512.5 inches

• 5512.5 miles

The scale of the map is 1/4 in: 18 mi. The state capitol is 252 miles from the border. How far is the state capitol from the border on the map?

• 3.5 mi

• 1008 mi

• 2.5 mi

• 3.5 in