The length of the side of the square is 3 cm, how many times will its area increase. If the sides are increased by 2 times?

1. Calculate the area of a square with side a1 = 3 cm:

S1 = a1 ^ 2 = 3 3 = 9 cm ^ 2.

2. The value of the length of the side of the square after the increase:

3 2 = 6 cm.

3. Area of a square with side a2 = 6 cm:

S2 = a2 ^ 2 = 6 6 = 36 cm ^ 2.

4. A multiple comparison of the areas before and after increasing the side length:

36: 9 = 4 times.

Answer: 4 times.