Understanding Ratios in Similar Rectangles

The video tutorial explains how to determine the perimeter of a smaller rectangle given the ratio of areas of two similar rectangles and the perimeter of the larger rectangle. It covers the properties of similar polygons, demonstrating how the ratio of areas relates to the ratio of perimeters. The tutorial uses squares to model these ratios and provides a step-by-step solution to find the missing perimeter using proportions.

What is the given ratio of the areas of the two similar rectangles?

• 5 to 4

• 4 to 5

• 16 to 25

• 25 to 16

If the ratio of the sides of two similar polygons is a to b, what is the ratio of their perimeters?

• a squared to b squared

• b to a

• a to b

• b squared to a squared

How can the ratio of the areas be expressed in terms of the sides of similar polygons?

• a to b

• a squared to b squared

• b to a

• b squared to a squared

What is the side length of a square with an area of 16 square units?

• 6 units

• 4 units

• 3 units

• 5 units

What is the ratio of the corresponding sides of the squares used in the example?

• 3 to 4

• 4 to 5

• 6 to 7

• 5 to 6

What is the perimeter of the small square in the example?

• 16 units

• 14 units

• 18 units

• 12 units

What is the simplified ratio of the perimeters of the small and large squares?

• 5 to 6

• 6 to 7

• 4 to 5

• 3 to 4

What is the perimeter of the larger rectangle given in the problem?

• 20 centimeters

• 35 centimeters

• 25 centimeters

• 30 centimeters

What is the perimeter of the smaller rectangle?

• 24 centimeters

• 22 centimeters

• 20 centimeters

• 26 centimeters

What mathematical operation is used to find the perimeter of the smaller rectangle from the known ratio?

• Division

• Multiplication

• Subtraction

• Addition