Question

Area of a square is given by 4x ^ 2 + 4x + What is the length of its side ?​

Answer 1

We have,  Area of square = 4x^2+12xy+9y^2

We know that, Area of the square = side^2

Now, factorising the given expression

4x^2+12xy+9y^2

=(2x)^2+2⋅2x⋅3y+(3y)^2

=(2x+3y)^2

Hence, the side of the square = (2x+3y)