Question

The side length of a square tile is assigned as shown (in inches). If each side of the tile is lengthened by two inches, which expression represents the area of the new, larger tile (in square inches)? *

Answer 1

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

$(x+2)(x+2)=x^2+2x+2x+4$

Add the like terms

$(x+2)(x+2)=x^2+4x+4$

The answer is x^2 + 4x + 4 ==== B