Perimeter and Area of Similar Figures

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 perimeter of a similar figure is found by multiplying the original perimeter by the scale factor, while the area is found by multiplying the original area by the square of the scale factor. The tutorial includes practical examples, such as scaling rectangles, triangles, and squares, and applies these concepts to real-world scenarios like enlarging photographs and designing porches.

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

• The perimeter of one figure is the square of the scale factor times the perimeter of the other.

• The perimeter of one figure is the cube of the scale factor times the perimeter of the other.

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

• The perimeter of one figure is half the scale factor times the perimeter of the other.

If two rectangles are similar and one has a perimeter of 24 inches, what is the perimeter of the other rectangle if the scale factor is 7/6?

• 28 inches

• 30 inches

• 26 inches

• 32 inches

How do you determine the scale factor when finding the perimeter of similar triangles?

• By subtracting the perimeter of the known figure from the unknown figure.

• By dividing the perimeter of the known figure by the unknown figure.

• By dividing the perimeter of the unknown figure by the known figure.

• By adding the perimeters of both figures.

What is the reduced scale factor for triangles with perimeters 18 and 24?

• 5/6

• 4/5

• 2/3

• 3/4

If a square has a side length of 4 inches, what is its perimeter?

• 16 inches

• 12 inches

• 20 inches

• 24 inches

What is the area of a porch with dimensions 8 by 5 feet?

• 35 square feet

• 40 square feet

• 45 square feet

• 30 square feet

If a mural is 10 times the size of an image with an area of 34.56 square inches, what is the area of the mural?

• 346 square inches

• 34.56 square inches

• 3456 square inches

• 345.6 square inches

What is the scale factor used when enlarging a photograph from 5 by 7 inches by 1.5 times?

• 2

• 1.5

• 1.75

• 1.25

What is the new perimeter of a photograph enlarged by a scale factor of 1.5 if the original perimeter is 24 inches?

• 34 inches

• 36 inches

• 32 inches

• 30 inches

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

• 75 square inches

• 78.75 square inches

• 70 square inches

• 80 square inches