Question

The area of a square is given by 4x²+12xy+9y². find the perimeter of the square

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Answer 1

Answer:

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)