A large park has an area of 2400 m2. If this park was a perfect square, what would its exact perimeter be?
If a park has an area of 2400 m2 and it is a perfect square, it means that its side length is equal to the square root of the area.
Therefore, the side length of the park would be √2400 = 49.4 m (rounded to one decimal place).
Since all sides of a square are equal, the perimeter of the park would be 4 times the side length:
Perimeter = 4 * 49.4 m = 197.6 m
So the exact perimeter of the large park would be 197.6 meters.
To find the exact perimeter of a square, we need to understand that a square has all four sides equal in length.
Given that the park has an area of 2400 square meters, we need to find the length of one side of the square. The area of a square is determined by taking the square of its side length.
So, we can find the side length of the square by taking the square root of the area. Taking the square root of 2400 will give us the length of one side of the square.
√2400 ≈ 48.9898 meters
Since a square has all sides equal, the perimeter of the square is given by multiplying the side length by four.
Perimeter = 48.9898 meters × 4 = 195.9592 meters
Therefore, the exact perimeter of the square park is approximately 195.9592 meters.
To find the exact perimeter of a square with a given area, we need to determine the length of one side of the square. The formula for the area of a square is A = s^2, where A represents the area and s represents the length of a side.
In this case, we are given that the park has an area of 2400 m^2. Therefore, we can set up the equation as follows:
2400 = s^2
To find the exact length of one side, we need to take the square root of both sides of the equation:
√2400 = s
Simplifying the square root of 2400, we have:
√2400 = √(16 x 150) = 4√150
Therefore, the length of one side of the square is 4√150 meters.
To find the exact perimeter of the square, we multiply the length of one side by 4, since all sides of a square have equal length:
Perimeter = 4 x 4√150 = 16√150 meters
So, the exact perimeter of the square park would be 16√150 meters.