How will the area of a square change if the length of its side is increased by 3 times?

1. Let the side of the square be equal to a, then the area of the square is calculated by the formula:
S1 = a * a = a ^ 2;
2. Since the side of the square has been enlarged 3 times, the side will be equal to 3 * a. The area of such a square is:
S2 = (3 * a) * (3 * a) = 9 * a ^ 2;
3. Find how the area will change:
S2 / S1 = (9 * a ^ 2) / (a ^ 2) = 9;
4. Answer: the area will increase 9 times.