Scale Factor Word Problems

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

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

Each side length of the rectangle at the right is multiplied by a scale factor of 4. What is the new area?

• 1344

• 84

• 336

• 152

Janice made a cake for her nephew's birthday. It measures 9 inches by 16 inches. She found out this will be a huge celebration and decided to double the width and length of the cake. What is the area of the new cake?

• 24 square inches

• 144 square inches

• 288 square inches

• 576 square inches

Choose the correct scale factor:

• 2

• 3

• 1/3

• 1/2

A scale factor of 2 is used to enlarge the dimensions of a square. What is the effect of this change on the area of the square?

• The area will be half as big.

• The area will be twice as large.

• The area will be 4 times larger.

• The area will be 8 times larger.

• The area will not change.

Each side length of the rectangle at the right is multiplied by 3. What is the new area?

• 1296

• 432

• 48

• 144

Each side length of the rectangle at the right is multiplied by a scale factor of 2. What is the new area?

• 1380

• 345

• 690

• 146

On a map with a scale of 0.5 inch = 75 miles, the distance between two cities is 2.75 inches. Find the actual distance between the cities.

• 412.5 miles

• 425 miles

• 395 miles

• 505.5 miles

A model of the Cape Hatteras Lighthouse uses a scale of 8 inches = 30 feet. If the actual lighthouse is 210 feet tall, how tall is the model?

• 56 inches

• 52 inch

• 68 inches

• 46 inches