Exploring the Impact of Scale Factor on Perimeter and Area

This video tutorial explains how scale factor affects the perimeter and area of shapes. It begins with an introduction to scale factor, using a rectangle as an example. The video demonstrates how to calculate the perimeter of a rectangle before and after applying a scale factor, showing that the perimeter is multiplied by the scale factor. It then moves on to calculating the area, illustrating that the area is multiplied by the square of the scale factor. The tutorial concludes by summarizing these effects, emphasizing the difference in how scale factor impacts perimeter and area.

What does a scale factor of two imply for a shape's dimensions?

• The shape's dimensions are tripled.

• The shape's dimensions remain the same.

• The shape's dimensions are doubled.

• The shape's dimensions are halved.

How is the new perimeter of a shape calculated when scaled by a factor of two?

• By dividing the original perimeter by two.

• By adding two to the original perimeter.

• By multiplying the original perimeter by two.

• By subtracting two from the original perimeter.

What was the original perimeter of the rectangle before scaling?

• 16 units

• 8 units

• 24 units

• 12 units

What is the perimeter of the new rectangle after scaling?

• 12 units

• 24 units

• 32 units

• 16 units

How does the scale factor affect the area of a shape compared to its perimeter?

• The area is scaled by the square of the scale factor.

• The area is scaled by the cube of the scale factor.

• The area and perimeter are scaled equally.

• The area is not affected by the scale factor.

What was the original area of the rectangle before scaling?

• 32 square units

• 24 square units

• 16 square units

• 8 square units

What is the area of the new rectangle after applying the scale factor?

• 64 square units

• 32 square units

• 8 square units

• 16 square units

If a shape's area is 8 square units and it is scaled by a factor of 2, what is the new area?

• 64 square units

• 32 square units

• 16 square units

• 8 square units

What formula represents the relationship between the original and new area after scaling?

• Original area + scale factor

• Original area * scale factor^2

• Original area / scale factor

• Original area * scale factor