Answer:
[tex]x^2+8x+12[/tex]
Step-by-step explanation:
The area of a rectangle formula is length times width.
The length of this rectangle is [tex](x+2)[/tex], and the width of this rectangle is [tex](x+6)[/tex]
Thus, the area of the rectangle is [tex](x+6)(x+2)[/tex]. This can be expanded using FOIL.
First [tex]x(x)=x^2[/tex]
Outer [tex]x(2)=2x[/tex]
Inner [tex]6(x)=6x[/tex]
Last [tex]6(2)=12[/tex]
The two x terms combine, making 8x, and the answer is [tex]x^2+8x+12[/tex]
