Understanding Rectangle Dimensions

The video tutorial explains how to determine the length of a rectangle given its area and height. It starts by introducing the problem, then explains how to calculate the area using length and height. The tutorial guides viewers through solving for the length by dividing both sides of the equation by the height, simplifying the equation, and arriving at the final expression for the length.

What is the given area of the rectangle in the problem?

• 3 y^2

• 14 x * y

• 42 x * y

• 42 x * y^3

What is the height of the rectangle as mentioned in the video?

• 14 y

• 42 x * y^3

• 3 y^2

• 14 x * y

How do you calculate the area of a rectangle?

• Divide length by height

• Add length and height

• Multiply length by height

• Subtract height from length

What operation is used to solve for the length of the rectangle?

• Subtraction

• Addition

• Multiplication

• Division

What is the first step in simplifying the expression for length?

• Multiply both sides by 14xy

• Divide both sides by 14xy

• Subtract 14xy from both sides

• Add 14xy to both sides

What is the result of dividing 42 by 14 in the context of this problem?

• 1

• 2

• 3

• 4

What happens to the x terms when simplifying the expression for length?

• They multiply

• They cancel out

• They remain unchanged

• They add up

What is the final expression for the length of the rectangle?

• 3 y^2

• y^3

• 14 x * y

• 42 x * y^3

In the final expression for length, what is the power of y?

• 4

• 3

• 2

• 1