the length of a rectangle is 3 inches greater than the width. write the polynomials that represent the area of the rectangle
a = l*w
a = (w+3)(w) = w^2+3w
To find the polynomials that represent the area of the rectangle, we first need to define some variables.
Let's say that the width of the rectangle is represented by 'x' inches.
According to the given information, the length of the rectangle is 3 inches greater than the width.
So, the length of the rectangle can be represented by 'x + 3' inches.
The area of a rectangle is calculated by multiplying its length by its width.
Therefore, the polynomial that represents the area of the rectangle is:
Area = Length * Width
Area = (x + 3) * x
Expanding this expression, we get:
Area = x(x + 3)
So, the polynomial that represents the area of the rectangle is x² + 3x.