Question

The area of a square field is 625 square meters. What is the perimeter of the field?

Answer 1

100 meters

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.

`a=s^2`

We know the area is 625 square meters. We can substitute 625 m² in for a.

`625 m^2=s^2`

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.

`√(625m^2)=√(s^2)`

`√(625m^2)=s`

`25 m=s`

The perimeter of the square can be found using the following formula.

`p=4s`

We know the side length is 25 meters. We can substitute 25 m in for s.

`p =4*25m`

Multiply.

`p=100m`

The perimeter of the field is 100 meters.

Answer 2

Area = side squared

625 = side squared

side = sqrt 625

side = 25 m

perimeter = 4 x side

perimeter = 100 m