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
![A=a^2](https://tex.z-dn.net/?f=A%3Da%5E2)
Where, a is the side length of the square.
![a=\sqrt{A}](https://tex.z-dn.net/?f=a%3D%5Csqrt%7BA%7D)
Area of the square is 100 square units. So, the side length is:
![a=\sqrt{100}](https://tex.z-dn.net/?f=a%3D%5Csqrt%7B100%7D)
![a=10](https://tex.z-dn.net/?f=a%3D10)
Therefore, the side length is 10 units.
Area of the square is 95 square units. So, the side length is:
![a=\sqrt{95}](https://tex.z-dn.net/?f=a%3D%5Csqrt%7B95%7D)
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:
![a=\sqrt{36}](https://tex.z-dn.net/?f=a%3D%5Csqrt%7B36%7D)
![a=6](https://tex.z-dn.net/?f=a%3D6)
Therefore, the side length is 6 units.
Area of the square is 30 square units. So, the side length is:
![a=\sqrt{30}](https://tex.z-dn.net/?f=a%3D%5Csqrt%7B30%7D)
It is not exact. We know that
.
Therefore, the side length is between 5 and 6.