How will the area of a square change if its side is reduced by 5 times?

If the length of the side of the square is reduced by 5 times, then the area of the square will decrease by 5² times, that is, 25 times, since the area of the square is equal to the length of the side of the square, squared.

Let’s look at an example. Let’s say the length of a side of a square is 10 cm.Let’s find the area of a square with a side of 10 cm:

S = 10² = 100 (cm²).

Now let’s reduce the side of the square by 5 times: 10: 5 = 2 (cm).

Let’s find a new area:

S = 2² = 4 (cm²).

Let’s calculate the difference between the original and new areas:

100: 4 = 25.

Answer: the area of the square will decrease 25 times.