To find the area of a square park when you know its perimeter, you can follow these steps:
- Understand the relationship between perimeter and side length: The formula for the perimeter P of a square is given by:
- P = 4 × s
- Where s is the length of one side of the square.
- Given that the perimeter is 320 meters, we can set up the equation:
- 4 × s = 320
- To find s, divide both sides of the equation by 4:
- s = 320 / 4
- s = 80
- Now that we have the side length, we can calculate the area A of the square using the formula:
- A = s × s
- Substituting the value of s:
- A = 80 × 80
- Perform the multiplication:
- A = 6400
Therefore, the area of the square park is 6400 square meters.