Question:
A rectangle has a height of 4 and a width of x² + 3x + 2. Express the area of the entire rectangle.
Given:
The height of the rectangle is 4.
The width of the rectangle is [tex]x^2+3x+2[/tex]
We need to determine the area of the entire rectangle.
Area of the entire rectangle:
Let us determine the area of the entire rectangle.
The area of the rectangle can be determined using the formula,
[tex]A=height \times width[/tex]
Substituting height = 4 and width = [tex]x^2+3x+2[/tex]
Thus, we get;
[tex]A=4(x^2+3x+2)[/tex]
Multiplying the terms by 4, we get;
[tex]A=4x^2+12x+8[/tex]
Thus, the area of the entire rectangle is [tex]4 x^{2}+12 x+8[/tex]
