18. The area of a square is given by A = x2 + 4x + 4,then the diagonal

1.	18. The area of a square is given by A = x2 + 4x + 4,then the diagonal of the square is(a) (x - 2)(b) (x + 2)(c) JZ (x-2)(d) 12 (x + 2)
Answer» Let side of square be S Then,Area of square = S^2 Hence,S^2 = x^2 + 4x + 4S^2 = (x + 2)^2S = (x + 2) Diagonal of square = sideroot(2)= (x + 2)root(2)= root(2)(x + 2) (d) is correct option

18. The area of a square is given by A = x2 + 4x + 4,then the diagonal of the square is(a) (x - 2)(b) (x + 2)(c) JZ (x-2)(d) 12 (x + 2)

Answer»

Let side of square be S

Then,Area of square = S^2

Hence,S^2 = x^2 + 4x + 4S^2 = (x + 2)^2S = (x + 2)

Diagonal of square = side*root(2)= (x + 2)*root(2)= root(2)(x + 2)

(d) is correct option