The area is 4x² + 2x - 2 square units
The area formula of a rectangle is length times width. In the rectangle, the length is clearly [tex]4x-2[/tex], and the width is [tex]x+1[/tex], so, the area of the given rectangle is expressed below:
[tex]Area=(4x-2)(x+1)[/tex]
Use the FOIL method to expand the expression.
[tex]\begin{gathered} Area=4x(x)+4x(1)-2(x)-2(1) \end{gathered}[/tex]
[tex]Area=4x^2+4x-2x-2[/tex]
[tex]Area=\boxed{4x^2+2x-2}[/tex]
Therefore, the area of the given rectangle is 4x² + 2x - 2 square units.
