The Effect of Scale Factor on Perimeter and Area

If the linear scale factor is 4, what is the area scale factor?

• 2

• 8

• 16

• 25

A scale factor of 1/2 is used to change the dimensions of a rectangle with a length of 7 centimeters and a width of 5 centimeters. What is the perimeter of the resulting rectangle?

• 12

• 35

• 24

• 38

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.

The dimensions of a rectangular photo are 3.5 in. x 5 in. The dimensions of the photo are enlarged by a scale factor of 2.5. What is the perimeter of the new photo?

• 17.7 in²

• 8.75 in. X 12.5 in.

• 42.5 in.

• There is not enough information.

If the scale factor is 5, how times larger will the area of the big square be compared to the smaller square?

• 5

• 20

• 25

• 63/4 and 4/ 
• 1/8 and 1/64
• 8 and 1/8
• 8 and 64

What will be true about this rectangle if you use a scale factor of 1/2 to change the dimensions? Select all that apply.

• The new length is 16 in.

• The new perimeter is 11 in.

• The new perimeter is 21 in.

• The new width is 1.5 in.

• The new length is 4 in.

How is the perimeter of a figure effected when all of its sides are increased by a scale factor of 3?

• The perimeter is 9 times larger

• The perimeter is 3 times larger

• The perimeter is 27 times larger

Describe the effect of change on the area of the rectangle if the base and height are both multiplied by a scale factor of 1/2.

• The area is multiplied by 1/2

• The area is multiplied by 1/4

• The area is multiplied by 2

• The area is multiplied by 3/2

Describe the effect of change on the area of the rectangle if the base and height are both multiplied by a scale factor of 4.

• The area is multiplied by 4

• The area is multiplied by 1/4

• The area is multiplied by 16

• The area is multiplied by 8