Understanding the Area of a Rectangle as a Monomial

The video tutorial explains how to express the area of a rectangle with dimensions 4y and 2y as a monomial. It begins by defining the area as the product of length and width, then demonstrates the calculation using the associative and commutative properties of multiplication. The process involves rearranging the multiplication order to simplify the expression to 8y squared, which is a monomial. The tutorial concludes by emphasizing that the result is a polynomial with only one term.

What is the formula for the area of a rectangle?

• Length plus width

• Length times width

• Length divided by width

• Length minus width

Which property allows us to change the order of multiplication?

• Distributive property

• Associative property

• Commutative property

• Identity property

What is the result of multiplying 4y by 2y?

• 8y

• 8y squared

• 6y squared

• 6y

What does y times y simplify to?

• y cubed

• 2y

• y squared

• y

What type of polynomial is 8y squared?

• Binomial

• Trinomial

• Quadrinomial

• Monomial