Given:
The area of the squares are given.
To find:
The exact side length or estimate side length of the square.
Solution:
We know that, the area of a square is

Where, a is the side length of the square.

Area of the square is 100 square units. So, the side length is:


Therefore, the side length is 10 units.
Area of the square is 95 square units. So, the side length is:

It is not exact. We know that
.
Therefore, the side length is between 9 and 10.
Area of the square is 36 square units. So, the side length is:


Therefore, the side length is 6 units.
Area of the square is 30 square units. So, the side length is:

It is not exact. We know that
.
Therefore, the side length is between 5 and 6.