Solving for W in the Perimeter Formula

The video tutorial explains how to solve the equation for the perimeter of a rectangle, specifically isolating the variable W. Two methods are demonstrated: the first involves subtracting terms to isolate W, while the second uses factoring and division. The tutorial emphasizes understanding the steps and encourages viewers to pause and verify their work. The video concludes with a recap of the methods and a call to action for viewers to subscribe.

What is the formula for the perimeter of a rectangle?

• P = L + W

• P = 2L + 2W

• P = 2L * W

• P = L * W

Tags

CCSS.7.EE.B.4A

In the first method, what is the first step to isolate W?

• Subtract 2L from both sides

• Divide both sides by 2

• Multiply both sides by 2

• Add 2L to both sides

Tags

CCSS.HSA.REI.A.1

After subtracting 2L from both sides, what is the next step in the first method?

• Divide both sides by 2

• Multiply both sides by 2

• Subtract 2 from both sides

• Add 2 to both sides

Tags

CCSS.HSA.REI.B.3

What is the result of the first method for solving W?

• W = 2P - L

• W = P/2 - L

• W = P/2 + L

• W = P - 2L

Tags

CCSS.7.EE.B.4A

In the second method, what is the first step to simplify the equation?

• Subtract 2 from both sides

• Factor out 2 from both terms

• Add 2 to both sides

• Multiply both sides by 2

Tags

CCSS.HSA-REI.B.4B

After factoring out 2, what is the next step in the second method?

• Subtract L from both sides

• Add L to both sides

• Multiply both sides by 2

• Divide both sides by 2

Tags

CCSS.HSA.REI.B.3

What is the final expression for W using the second method?

• W = 2P - L

• W = P/2 - L

• W = P/2 + L

• W = P - 2L

What is the purpose of factoring out 2 in the second method?

• To simplify the equation

• To eliminate W

• To eliminate L

• To make the equation more complex

Tags

CCSS.5.NBT.A.2

How do the results of the two methods compare?

• They are different

• They are the same

• One is half the other

• One is double the other

Tags

CCSS.8.EE.C.7B

What should you do if you want to verify your solution?

• Watch the video again

• Use a calculator

• Ask a friend

• Check the original equation

Tags

CCSS.8.EE.C.7B