Respuesta :

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]