The area of the square flower bed was increased by 4 times, while maintaining its shape

The area of the square flower bed was increased by 4 times, while maintaining its shape. How many times the length of the side of this flower bed has been increased.

Let the initial length of the side of the flowerbed before its increase be a1, and its area S1.

Then S1 = a1 ^ 2.

Let the initial length of the side of the flower bed after its increase was a2, and its area was S2.

Then S2 = a2 ^ 2.

By condition S2 / S1 = 4 = a2 ^ 2 / a1 ^ 2.

a2 ^ 2 = 4 * a1 ^ 2.

a ^ 2 = √ (4 * a1 ^ 2) = 2 * a1.

Answer: The length of the side of the flower bed was doubled.