Question

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

A square shaped tile with length x plus three is shown

Answer 1

A= sides²
A = (x+3)²
A = (x + 3) (x + 3)
Next step is to FOIL.
x² + 3x + 3x + 9
x² + 6x + 9

Answer 2

Answer: The expression of polynomial that represents the area of the square is $x^2+6x+9$

Step-by-step explanation:

Since we have given that

Length of square shaped tile = (x+3)

We have to find the area of the outermost square tile:

As we know the formula for "Area of square":

$Area=Side^2\\\\Area=(x+3)\times (x+3)\\\\Area=(x+3)^2\\\\Area=x^2+6x+9$

Hence, the expression of polynomial that represents the area of the square is $x^2+6x+9$