Scale Factor and Actual Distance

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

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

Robbie made a scale drawing of a neighborhood park. A soccer field in the park is 14 inches long in the drawing. The actual field is 98 yards long. What is the scale of the drawing?1 inch = _ yards

• 1372

• 5

• 14

• 7

The distance between 2 cities on a map is 2 inches. The map was drawn using the scale shown here. What is the distance, in miles, between the two cities?

• 2 miles

• 688 miles

• 4 miles

• 172 miles

In the figure above, a dilation from A to A' has occurred. What is the scale factor?

scale factor = _______

Mathematical Equivalence

ON

what is the length of x?

• 9mm

• 4mm

• 4/9mm

• 36mm

The straight-line distances between Houston and several cities on a map of Texas are shown in the table. The scale is 2 cm:50 mi. Find the actual distances in miles.
Answers are for Austin and Galveston (respectively).

• 145 miles and 225 miles

• 317. 5 miles and 145 miles

• 145 miles and 47.5 miles

• 225 miles and 145 miles

If the original is 12 units and the scale factor is 1/4 what is the size of the scale drawing?

• 300

• 4.8

• 3

• 4

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