The length of one side of the park is [tex]6.5 \ cm[/tex]
Explanation:
It is given that the area of the square park is [tex]$42.25 \ {cm}^{2}$[/tex]
The length of one side of the park can be determined using the area of the square formula which is given by
[tex]Area = a^2[/tex]
To find the length of one side of the park, we need to substitute the value of the area of the square in the given formula.
Hence, substituting [tex]Area = 42.25[/tex] in the above formula, we get,
[tex]42.25=a^2[/tex]
Taking square root on both sides of the equation, we get,
[tex]\sqrt{42.25} =a[/tex]
Simplifying, we have,
[tex]6.5=a[/tex]
Thus, the length of one side of the square park is [tex]6.5 \ cm[/tex]