By what percentage the side of the square will decrease if its area is reduced by 36%.

To solve this problem, remember that the area of ​​a square is equal to the square of its side. S = a ^ 2. Let’s calculate what the side of the square is. a = √S.

Let’s calculate what the area is equal to after it has been reduced by 36%. To find the percentage of the number, you need to multiply this number by the percentage and divide by one hundred.

S – 0.36S = 0.64S.

Let’s calculate what the side is, knowing that the area is 0.64S.

a2 = √0.64S = 0.8 * √S.

Let’s calculate by what percentage the side of the square has decreased.

√S – 0.8 * √S = 0.2√S.

To find how many percent one number is from another, you need to find the quotient of these numbers, and then translate it into percentages (for this, multiply the resulting number by 100%).

0.2 √S / √S * 100 = 20%.

Answer: 20%.