Calculating Scaled Area Using a Scale Factor

What is a scale factor?

• A number that adds to the dimensions of a figure

• A number that divides the dimensions of a figure

• A number that multiplies the dimensions of a figure

• A number that subtracts from the dimensions of a figure

In the example, what are the scaled dimensions when the width and length are multiplied by a scale factor of 2?

• 1 and 2 centimeters

• 2 and 4 centimeters

• 3 and 6 centimeters

• 4 and 8 centimeters

What is the scaled area of a rectangle with original dimensions 1 unit by 1 unit and a scale factor of 2?

• 8 square units

• 4 square units

• 2 square units

• 6 square units

When the scale factor is 3, what are the dimensions of the scaled rectangle if the original dimensions are 1 unit by 2 units?

• 4 by 8 units

• 3 by 6 units

• 5 by 10 units

• 2 by 4 units

What pattern is observed when the scale factor increases by one each time?

• The scaled area decreases

• The scaled area increases by a larger amount

• The scaled area remains the same

• The scaled area increases by a smaller amount

Why does multiplying the original area by the scale factor alone not produce the scaled area?

• Because the scale factor is squared

• Because the scale factor is cubed

• Because the scale factor is used twice

• Because the scale factor is used only once

What is the formula for finding the scaled area using the scale factor?

• Original area divided by scale factor squared

• Original area times scale factor

• Original area divided by scale factor

• Original area times scale factor squared

What is the scaled area of a 1 by 2 rectangle with a scale factor of 8?

• 512 square units

• 256 square units

• 128 square units

• 64 square units

What is a common misunderstanding about generating the scaled area?

• Thinking the scaled area is generated by adding the scale factor to the original area

• Thinking the scaled area is generated by dividing the original area by the scale factor

• Thinking the scaled area is generated by multiplying the original area by the scale factor alone

• Thinking the scaled area is generated by subtracting the scale factor from the original area

What should you remember when generating the scaled area?

• Use the scale factor alone

• Use the square of the scale factor

• Use the original dimensions only

• Use the cube of the scale factor