Answer: 4 times
Explanation: If the area of a square has increased by a factor of 16,
Let us consider, the area of an old square is A and its side is [tex]x[/tex].
Now, the area of a new square is 16 A and its side is [tex]y[/tex]
Now, we take a ratio of area of the old and new square
[tex]\dfrac{A}{16A} = \dfrac{x^{2}}{y^{2}}[/tex]
[tex]\dfrac{1}{4} = \dfrac{x}{y}[/tex]
[tex]y = 4 x[/tex]
So, we can say that the sides of new square is 4 times of the sides of old square.
