Answer :
The area of the rectangle is [tex]4x^2+12x+8[/tex]
Explanation:
Given that the height of the rectangle is 4.
The width of the rectangle is [tex]x^2+3x+2[/tex]
Area of the rectangle:
The area of the rectangle can be determined using the formula,
[tex]Area=height\times width[/tex]
where height = 4 and width = [tex]x^2+3x+2[/tex]
Substituting the values in the above formula, we have,
[tex]Area=4(x^2+3x+8)[/tex]
Let us expand the expression by multiplying the terms within the bracket, we get,
[tex]Area=4x^2+12x+8[/tex]
Thus, the area of the entire rectangle is [tex]4x^2+12x+8[/tex]
