Scale Factors and Area Relationships

The video tutorial by Mr. Holcomb covers solving area problems using scale drawings. It explains how to convert scale factors into fractions and percentages, and how these relate to area calculations. The lesson includes examples with squares and circles, demonstrating the impact of scale factors on area. It also covers reductions and concludes with exercises to apply the learned concepts.

What is the scale factor if a drawing is enlarged from 3 units to 9 units?

• 3

• 9

• 1/3

• 1/9

If the radius of a circle is doubled, what is the percentage increase in its area?

• 100%

• 400%

• 200%

• 300%

How does the area quotient relate to the scale factor?

• It is the same as the scale factor

• It is the square of the scale factor

• It is half of the scale factor

• It is the cube of the scale factor

What is the scale factor if a square's side length is reduced from 12 units to 6 units?

• 4

• 1/4

• 2

• 1/2

If a picture is enlarged by a scale factor of 5, what is the percentage increase in its area?

• 500%

• 2500%

• 1500%

• 1000%

What is the area of a poster if the original picture is 4x6 inches and the scale factor is 5?

• 24 square inches

• 30 square inches

• 600 square inches

• 120 square inches

If a banner is reduced to a poster with a scale factor of 1/2, what is the percentage decrease in area?

• 100%

• 75%

• 50%

• 25%

What is the scale factor if a poster is reduced from 30 inches to 6 inches?

• 1/5

• 5

• 1/6

• 6

How do you calculate the area of a scaled drawing if you know the scale factor?

• Multiply the original area by the scale factor

• Multiply the original area by the square of the scale factor

• Divide the original area by the scale factor

• Divide the original area by the square of the scale factor

If a scale factor is 3/5, what is the area scale factor?

• 25/9

• 3/5

• 9/25

• 5/3