Exploring Scale Factors in Geometry

What is the scale of the map used in the first example?

• 1 inch represents 25 miles

• 1 inch represents 100 miles

• 1 inch represents 50 miles

• 1 inch represents 10 miles

If the distance between two cities on the map is 3.2 inches, what is the actual distance?

• 70 miles

• 80 miles

• 60 miles

• 50 miles

In the second example, what is the scale used on the blueprint?

• 3 centimeters represents 25 feet

• 3 centimeters represents 10 feet

• 3 centimeters represents 20 feet

• 3 centimeters represents 15 feet

What is the actual length of one square on the blueprint if each square has a side length of 27 centimeters?

• 135 feet

• 120 feet

• 100 feet

• 150 feet

What is the wingspan of the toy model airplane in the third example?

• 5 inches

• 4 inches

• 7 inches

• 6 inches

What is the actual wingspan of the airplane in the third example?

• 26 feet

• 24 feet

• 22 feet

• 20 feet

What is the scale factor for the toy model airplane?

• 1 inch represents 2 feet

• 1 inch represents 3 feet

• 1 inch represents 5 feet

• 1 inch represents 4 feet

In the fourth example, what is the scale used for the doll's dress?

• 1 inch is equal to 20 inches

• 1 inch is equal to 15 inches

• 1 inch is equal to 10 inches

• 1 inch is equal to 5 inches

What is the length of the doll's dress in the fourth example?

• 3.5 inches

• 4.0 inches

• 4.5 inches

• 5.0 inches

What is the length of the child-size dress in the fourth example?

• 40 inches

• 55 inches

• 45 inches

• 50 inches