Answer:
100 meters
Step-by-step explanation:
In order to calculate the perimeter, we must have the side length.
The area of a square can be found using the following formula.
[tex]a=s^2[/tex]
We know the area is 625 square meters. We can substitute 625 m² in for a.
[tex]625 m^2=s^2[/tex]
We want to find the side length, s. Therefore, we must isolate s. s is being squared. The inverse of a square is a square root. Take the square root of both sides of the equation.
[tex]\sqrt{625m^2}=\sqrt{s^2}[/tex]
[tex]\sqrt{625m^2}=s[/tex]
[tex]25 m=s[/tex]
The perimeter of the square can be found using the following formula.
[tex]p=4s[/tex]
We know the side length is 25 meters. We can substitute 25 m in for s.
[tex]p =4*25m[/tex]
Multiply.
[tex]p=100m[/tex]
The perimeter of the field is 100 meters.
