The distance from the center of a square to its side is 4 yd. Find the perimeter of the square.
if you post the answer it would be a big help
32 yds
32 yards because each side would be 8 yards and 8x4 is 32.
To find the perimeter of a square, we need to know the length of one of its sides. However, in this case, we are given the distance from the center of the square to its side, which is known as the radius.
To overcome this, we can use the fact that the radius of a square is equal to half the length of its diagonal. Therefore, the diagonal of the square will be 8 yards (double the radius).
Now, using the Pythagorean theorem, we can calculate the length of one side of the square:
(side)^2 + (side)^2 = (diagonal)^2
Let's denote the length of the side as 's':
s^2 + s^2 = 8^2
2s^2 = 64
s^2 = 32
s ≈ √32 = 5.65 yards
Now that we have the length of one side, we can find the perimeter of the square, which is calculated by multiplying the length of one side by 4:
Perimeter = 4 * s
Perimeter = 4 * 5.65
Perimeter ≈ 22.60 yards
Therefore, the perimeter of the square is approximately 22.60 yards.
Each side of the square must be 8 yards, right?
P = 4s