Answer :

Let the initial length of side be x

So, the area of a square = a^{2} = x^{2} m^{2}

New length = 3 + x

New width = 1 + x

Now it is a rectangle

Area of rectangle = l × b = (3 + x) × (1 + x)

So according to given conditions

19 + x^{2} = 3 + 4 x + x^{2}

4 x = 16

x = 4m

Therefore, length of side is 4m.

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