Answer:
The range of the square's side is between 0 and 10 meters.
Step-by-step explanation:
The area of a square is defined as:
Area = x*x
Where x is the length of the square's side. It also could be writing as:
Area = [tex]x^{2}[/tex]
Then, the question say that the area is less than 100 m^2, which means that the area have a value below 100 m^2. This is equivalent to write:
Area < [tex]100m^{2}[/tex]
[tex]x^{2} < 100m^{2}[/tex]
Now we can solve for x and obtain:
[tex]x^{2} < 100m^{2}[/tex]
[tex]x<\sqrt[2]{100m^{2}}[/tex]
[tex]x<10m[/tex]
Finally for getting a reasonable range for the square's side is logic to use a positive number and a number that also fulfill with this last condition (x<10m).
So, the range for the square's side is number greater than zero and smaller than 10 meters. It also could be writing as: (0,10)
