Ratios and Scale Factor

Find the scale factor. Assume the left shape is the original.

• 12/15

• 12/32

• 15/32

• 1.25

An equilateral triangle is dilated with a scale factor of 3. If the side length of the original triangle was 4 cm, what is the side length of the new triangle?

• 8 cm

• 12 cm

• 5 cm

• 16 cm

What is the scale factor? Assume the left shape is the original.

• 2

• 0.5

• 2.5

• 0.4

• 9

• 7

• 5

• 12

A map has a scale of 1 inch represents 5 miles. If two cities are 3.5 inches apart on the map, how far are they from each other in reality?

• 10 miles

• 3.5 miles

• 17.5 miles

• 25 miles

• x = 21

• x = 18

• x = 12

• x = 10

If the ratio of red pens to blue pens in a class is 3:5, and there are 24 red pens, how many blue pens are there?

• 15

• 40

• 30

• 20

James has 6 pencils and 3 pens in his backpack. Julie has 2 pencils and 1 pen her backpack? Write a scale factor comparing the number of pens that James has to the number of pens that Julie has.

A farmer grows 6 acres of corn,13 acres of potatoes, and 4 acres of lettuce. What it the ratio of corn to lettuce?

One bee keeper has 3,000 bees that produce 2 gallons of honey per year. The second bee keeper has 4,700 bees that produce 3 gallons of honey per year. Write a scale factor comparing the bees for both companies.