Scale Factor Review

If I know the Perimeter of the smaller rectangle is 16. And the scale factor is 2, what is the Perimeter of the larger rectangle?

• 16

• 8

• 64

• 32

If I know the Area of the smaller rectangle is 12. And the scale factor is 2, what is the Area of the larger rectangle?

• 48

• 24

• 12

• 60

A rectangle has the dimensions 4cm by 5cm. A scale factor of 3 is used to enlarge the rectangle. What is the new area?

• 20 cm²

• 60 cm²

• 180 cm²

• 100 cm²

Which of the following measurements are related to the scale factor? Check all that apply.

• surface areas

• heights

• side lengths

• volume

• perimeter

Two similar pentagons have side lengths of 9 inches and 15 inches. What is the ratio of their areas?

• 3/5

• 27/125

• 9/25

• 9/15

How many times greater is the perimeter of a parallelogram if its side lengths are increased by a factor of 8?

• 8

• 16

• 64

• 512

How many times greater is the area of a trapezoid if its side lengths are increased by a factor of 4?

• 4 times greater

• 64 times greater

• 8 times greater

• 16 times greater

The cylinders shown are similar. If the volume of the larger cylinder is 562.5 m³, then what is the volume of the smaller cylinder?

• 288 m³

• 112.5 m³

• 450 m³

• 360 m³

By what factor would the volume of a triangular prism decrease if the dimensions (side lengths) were decreased by a factor of 1/3?

• 1/3

• 1/6

• 1/9

• 1/27

Two triangles are similar. The smaller triangle has an area of 24 in² and the larger triangle has an area of 54 in². If the larger triangle has a height of 18 inches, then what is the height of the smaller triangle?

• 12 inches

• 2 inches

• 8 inches

• 6 inches