Scale Factors and Area Relationships

This video tutorial covers the concepts of area and perimeter in similar figures. It explains how to calculate the perimeter and area of similar figures using scale factors. The tutorial includes examples with rectangles, triangles, and squares, demonstrating how to apply scale factors to find new perimeters and areas. It also covers practical applications such as scale drawings, quilting squares, and enlarging images, emphasizing the importance of reducing scale factors for easier calculations.

What is the relationship between the perimeters of two similar figures?

• The perimeter of one is the square of the other.

• The perimeter of one is the cube of the other.

• The perimeter of one is equal to the perimeter of the other times the scale factor.

• The perimeter of one is half of the other.

How do you find the perimeter of a similar figure B if you know the perimeter of figure A and the scale factor?

• Multiply the perimeter of A by the scale factor squared.

• Divide the perimeter of A by the scale factor.

• Multiply the perimeter of A by the scale factor.

• Add the scale factor to the perimeter of A.

When reducing the scale factor 18/24, what is the simplified form?

• 3/4

• 2/3

• 4/5

• 5/6

If a garden's scale drawing has a perimeter of 64 inches and the actual length is 21 feet, what is the scale factor?

• 21/24

• 7/8

• 3/4

• 5/6

What is the formula to find the area of a similar figure using the scale factor?

• Area of original plus scale factor

• Area of original divided by scale factor

• Area of original times scale factor squared

• Area of original times scale factor

If a porch is doubled in size, what is the scale factor for its area?

• 8

• 16

• 2

• 4

Molly's mural is 10 times the size of the original image. What is the area of the mural if the original is 34.56 square inches?

• 345.6 square inches

• 34560 square inches

• 3456 square inches

• 34.56 square inches

What is the new perimeter of a photograph enlarged by a scale factor of 1.5?

• 30 inches

• 36 inches

• 24 inches

• 48 inches

If a photograph is enlarged by a scale factor of 1.5, what is the new area if the original area is 35 square inches?

• 87.5 square inches

• 105 square inches

• 78.75 square inches

• 52.5 square inches

What is the correct method to calculate the new area of a figure when given a scale factor?

• Add the scale factor to the original area

• Divide the original area by the scale factor

• Multiply the original area by the scale factor squared

• Multiply the original area by the scale factor