Given:
The rectangle has a height of 4x and the width of [tex]3x+1[/tex]
We need to determine the area of the entire rectangle.
Area of the rectangle:
Let us determine the area of the rectangle.
The area of the rectangle can be determined using the formula,
[tex]A=length \times width[/tex]
Substituting the value length = 4x and width = [tex]3x+1[/tex] in the above formula, we get;
[tex]A=4x(3x+1)[/tex]
Let us remove the parenthesis by multiplying the term 4x within the bracket, we have;
[tex]A=12x^2+4x[/tex]
Thus, the entire area of the rectangle is [tex]12x^2+4x[/tex]
