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Sagot :
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
[tex]A=a^2[/tex]
Where, a is the side length of the square.
[tex]a=\sqrt{A}[/tex]
Area of the square is 100 square units. So, the side length is:
[tex]a=\sqrt{100}[/tex]
[tex]a=10[/tex]
Therefore, the side length is 10 units.
Area of the square is 95 square units. So, the side length is:
[tex]a=\sqrt{95}[/tex]
It is not exact. We know that [tex]\sqrt{81}<\sqrt{95}<\sqrt{100}[/tex].
Therefore, the side length is between 9 and 10.
Area of the square is 36 square units. So, the side length is:
[tex]a=\sqrt{36}[/tex]
[tex]a=6[/tex]
Therefore, the side length is 6 units.
Area of the square is 30 square units. So, the side length is:
[tex]a=\sqrt{30}[/tex]
It is not exact. We know that [tex]\sqrt{25}<\sqrt{30}<\sqrt{36}[/tex].
Therefore, the side length is between 5 and 6.
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