Area and Perimeter of Rectangles

The video tutorial covers three examples involving similar geometric figures. Example A focuses on finding the scale factor and comparing the perimeters of two similar rectangles. Example B involves calculating the area of these rectangles and verifying the area ratio using the similar polygons theorem. Example C deals with finding the area ratio of similar rhombi by squaring the scale factor. The tutorial demonstrates the relationships between scale factors, perimeters, and areas in similar figures.

What is the scale factor between two similar rectangles if one side of the first rectangle is 10 and the corresponding side of the second rectangle is 15?

• 3/5

• 1/2

• 2/3

• 3/2

If two rectangles are similar, what should be true about the ratio of their perimeters?

• It is the same as the scale factor.

• It is double the scale factor.

• It is half the scale factor.

• It is unrelated to the scale factor.

How do you calculate the perimeter of a rectangle with sides 16 and 10?

• 16 x 10

• 16 + 10

• 2(16 + 10)

• 16 + 10 + 16 + 10

What is the perimeter of a rectangle with sides 15 and 24?

• 15 + 24

• 15 x 24

• 78 x 2

• 78

What is the perimeter of a rectangle with sides 16 and 10?

• 62

• 42

• 32

• 52

What is the perimeter of a rectangle with sides 15 and 24?

• 78

• 48

• 64

• 72

What is the area of a rectangle with dimensions 16 by 10?

• 78

• 52

• 26

• 160

According to the area of similar polygons theorem, if the ratio of two similar figures is m/n, what is the ratio of their areas?

• m^2/n

• m/n^2

• m/n

• m^2/n^2

What is the area of a rectangle with dimensions 15 by 24?

• 24

• 240

• 360

• 150

If the original ratio of two similar rectangles is 2/3, what should be the ratio of their areas?

• 9/4

• 3/2

• 4/9

• 2/3