Question

Which polynomial expression represents the area of the outermost square tile, shown below?

The bottom of the square is x + 3

x^2 + 6x + 6
x^2 + 9x + 6
x^2 + 6x + 9
x^2 − 6x + 9

I have attached a picture of the problem so it's easier to understand.

Answer 1

funny enough, it is the one that you clicked on. the of the square simple needs to be squared to find the answer.
I hope this helped.

Answer 2

By definition, we have that the area of a square is given by:

`A = L ^ 2`
Where,
L: square side
We have that the side of the square is given by:

`L = x + 3`
Substituting values:

`A = (x + 3) ^ 2`
Rewriting the expression we have:

`A = x ^ 2 + 6x + 9`
Answer:
The area of the outermost square tile, shown below is:

`x ^ 2 + 6x + 9`