Understanding the Area of a Rectangle

The video tutorial explains how to find the width of a rectangle given its area and length using polynomial long division. It starts with the problem statement, followed by a detailed explanation of the area formula and how to apply long division to solve for the width. The tutorial concludes with the final solution, demonstrating the process step-by-step.

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

• 9x squared plus 27x plus 14 cm squared

• 3x plus 2 cm

• 21x plus 14 cm squared

• 9x squared plus 14 cm squared

What is the formula used to find the width of a rectangle?

• Width = Length / Area

• Width = Area / Length

• Width = Area x Length

• Width = Length x Area

What is the first step in dividing the polynomial 9x squared by 3x?

• Multiply 9x squared by 3x

• Subtract 3x from 9x squared

• Divide 9x squared by 3x

• Add 3x to 9x squared

What is the result of dividing 9x squared by 3x?

• 3x

• 21x

• 6x

• 9x

After subtracting 9x squared from itself, what is the next term to bring down?

• 3x

• 21x

• 14

• 6x

What is the result of dividing 21x by 3x?

• 21

• 14

• 3

• 7

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

• 3x plus 2

• 21x plus 14

• 3x plus 7

• 9x plus 14

What is the remainder after completing the polynomial division?

• 0

• 14

• 7

• 21

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

• 3x plus 7 cm

• 9x plus 14 cm

• 3x plus 2 cm

• 21x plus 14 cm

What mathematical operation is primarily used to find the width in this problem?

• Subtraction

• Addition

• Multiplication

• Division