To find the area of a square park, we first need to determine the length of one side of the square using the given perimeter.
The formula for the perimeter (P) of a square is:
P = 4 × side
Given that the perimeter is 320 meters, we can set up the equation:
320 = 4 × side
To find the length of one side, we divide both sides of the equation by 4:
side = 320 / 4
side = 80 meters
Now that we have the length of one side, we can calculate the area (A) of the square using the formula:
A = side × side
Substituting the value we found:
A = 80 × 80
A = 6400 square meters
Therefore, the area of the square park is 6400 square meters.