Exploring Area and Perimeter with Scale Factors

What is the initial shape used to explain the concept of scale factor?

• Rectangle

• Circle

• Triangle

• Square

If the original rectangle's width is multiplied by 2, what is the new width?

• 3

• 24

• 6

• 12

What is the perimeter of the original rectangle if one side is 3 units and the other is 6 units?

• 18 units

• 36 units

• 9 units

• 12 units

How do you calculate the perimeter of a shape scaled by a factor of two?

• Divide original by 2

• Multiply original by 2

• Multiply original by 4

• None of the above

What is the area of the original rectangle with sides 3 units and 6 units?

• 18 units squared

• 9 units squared

• 36 units squared

• 12 units squared

How is the area of a scaled shape calculated differently from the perimeter?

• Multiply by scale factor squared

• Multiply by scale factor

• Divide by scale factor

• None of the above

What is the result of scaling the area of the original shape by a factor of two squared?

• 18 units squared

• 36 units squared

• 144 units squared

• 72 units squared

What mathematical operation is used to adjust the area when scaling?

• Exponentiation

• Multiplication

• Subtraction

• Addition

Why is it important to square the scale factor when calculating the area of a scaled shape?

• To account for both dimensions

• To reduce the size

• To simplify the calculation

• None of the above

What does the exponent of two signify in the context of area scaling?

• Halving the area

• Doubling the area

• Quadrupling the area

• Scaling the area by dimensions