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 = \(x^{2}\)
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 < \(100m^{2}\)
\(x^{2} < 100m^{2}\)
Now we can solve for x and obtain:
\(x^{2} < 100m^{2}\)
\(x<\sqrt[2]{100m^{2}}\)
\(x<10m\)
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)
