Since the side of the square till is x inches
Since it lengthed by 2 inches, then
The new side = x + 2
Since the area of the square = side x side, then
The area of the new till = (x + 2)(x + 2)
Let us multiply them
(x) x (x) = x^2
(x) x 2 = 2x
2 x (x) = 2x
2 x 2 = 4
![(x+2)(x+2)=x^2+2x+2x+4](https://img.qammunity.org/2023/formulas/mathematics/college/hqgzkt2ecthb5ph1187txw8hr3v8u2x8k9.png)
Add the like terms
![(x+2)(x+2)=x^2+4x+4](https://img.qammunity.org/2023/formulas/mathematics/college/209ikfern3xjumzqh1pz8inxdbrm8iwt8w.png)
The answer is x^2 + 4x + 4 ==== B