How will the area of a square change if each side of it is increased 5 times?

Let the side of the square be equal to the variable a.

Therefore, according to the condition, after it is increased, it will be possible to represent it in 5a.

Then the area of this geometric figure in the first case will be equal to a * a = a ^ 2, while after increasing it will be: 5a * 5a = 25a ^ 2.

Let us determine how many times the area in the second case is greater than the area in the first case:

25a ^ 2: a ^ 2 = 25.

Answer: After enlarging the side by 5 times, the area of the square will increase 25 times.