Answer:
1. To find the area of the rectangle, we need to multiply the length and the width. Given that the length is 6 and the width is 4, the area of the rectangle is $A_{rectangle} = 6 \cdot 4 = 24$ square units.
2. The area of a rectangle is not a polynomial because it is the product of two linear expressions (length and width), and polynomials are expressions consisting of variables and coefficients, involving only the operations of addition, subtraction, multiplication, and non-negative integer exponents.
3. Relationship between the area of a rectangle and its sides is that the area is equal to the product of the length and the width. In other words, $A_{rectangle} = L \cdot W$, where $L$ represents the length and $W$ represents the width.
4. The width of a rectangle is directly proportional to its area. This means that as the width increases, the area of the rectangle also increases, assuming the length remains constant.
5. The process of rewriting a polynomial as a product of polynomial factors is called factoring. Factoring is a fundamental concept in algebra and is used to simplify expressions and solve equations.
