Perimeter and Linear Relationships

This video tutorial explores the concept of perimeter in rectangles and how it relates to linear relationships. It introduces two methods for calculating the perimeter and demonstrates how adding rectangles affects the perimeter. The tutorial also covers graphing these relationships and distinguishes between linear and non-linear functions, emphasizing the importance of a constant rate of change in linear functions.

What is the perimeter of a single rectangle if the perimeter of 5 such rectangles is 60?

• 20

• 15

• 12

• 10

Which of the following is a method to calculate the perimeter of a rectangle?

• Divide all sides

• Subtract all sides

• Add all sides

• Multiply all sides

What is the perimeter of a rectangle with a length of 7 and a width of 2 using the formula method?

• 22

• 20

• 18

• 16

How does the perimeter change when a second rectangle is added?

• Increases by 4

• Increases by 3

• Increases by 2

• Increases by 1

What is the constant rate of change in the perimeter when additional rectangles are added?

• 2

• 1

• 3

• 4

How can the perimeter of 50 rectangles be found using a graph?

• By drawing a circle

• By drawing a triangle

• By using a protractor

• By extending the line

What is a common misunderstanding about relationships or functions?

• None are linear

• All are non-linear

• All are linear

• None are non-linear

Which sequence represents a non-linear relationship?

• 5, 10, 15, 20

• 2, 4, 8, 16

• 3, 6, 9, 12

• 2, 4, 6, 8

What must the rate of change be for a relationship to be considered linear?

• Constant and added/subtracted

• Constant and multiplied

• Variable and multiplied

• Variable and added/subtracted

In a linear relationship, how is the rate of change applied?

• By multiplying

• By dividing

• By adding or subtracting

• By squaring