Which polynomial expression represents the area of the outermost square tile, shown below?
a square shaped tile with length x plus three is shown
x2 + 6x + 6
x2 + 9x + 6
x2 + 6x + 9
x2 − 6x + 9

I believe the correct answer from the choices listed above is the third option. The polynomial expression that represents the area of the outermost square tile would be x^2 + 6x + 9. The area of a square is calculated by the square of its side and the side of this square is given as x+3.

A = (x+3)^2 = x^2+6x+9