Understanding the Area of a Rectangle as a Monomial

The video tutorial explains how to express the area of a rectangle with given dimensions as a monomial. It begins by defining a monomial and then describes the dimensions of the rectangle. The tutorial proceeds to calculate the area by multiplying the length and width, and finally simplifies the expression to a monomial form, 8xy squared.

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

• 8xy

• 4xy

• 2y

• y^2

What does the term 'monomial' mean in this context?

• Three terms

• Four terms

• Two terms

• One term

What is the formula used to calculate the area of a rectangle?

• Length / Width

• Length x Width

• Length + Width

• Width - Length

How do you simplify the product of 4xy and 2y?

• Multiply the coefficients and add exponents of like bases

• Divide the coefficients

• Add the coefficients

• Subtract the coefficients

What is the result of multiplying 4 by 2 in the expression?

• 10

• 12

• 8

• 6

What is the exponent of y in the final monomial expression?

• 2

• 1

• 4

• 3

What is the final monomial expression for the area of the rectangle?

• 4xy^2

• 2xy^2

• 8xy^2

• 8xy