Suppose the original length of side of square is 1 cm.
Now, area of square = side × side
= 1 × 1 square cm = 1 square cm
When the side of square is made two times bigger, then the new length of the side of the square will be 2 cm
Area of square = side × side
= 2 × 2 square cm = 4 square cm
So, when the side of the square is made 2 times bigger, then its area becomes 4 times bigger than the original area.