The area of the square has decreased by N times. How many times have you reduced the side of the square if N = 225?

All sides of a square are equal. Its area is equal to the product of two sides.

We denote by S – the area of the square.

We denote by S1 – the new area of the square, reduced by a factor of 225.

Let us denote by A – the side of the square with the new area.

According to the condition, the area has decreased 225 times.

Find the new area of the square:

S1 = S / 225.

Considering that S1 = A ^ 2, we find the side A:

A = √S1 = √ (S / 225) = √S / 15.

Answer: The new side of the square is √S / 15.