To find the diagonal of a square garden when you know its area, you can follow these steps:
1. **Calculate the side length of the square**: The area of a square is given by the formula:
Area = side × side
Given that the area is 200 m², you can find the side length by rearranging the formula:
side = √(Area)
Thus, the side length can be calculated as:
side = √(200) ≈ 14.14 m
2. **Calculate the diagonal**: The diagonal (d) of a square can be calculated using the formula:
d = side × √2
So, substituting the side length we found:
d = 14.14 × √2 ≈ 14.14 × 1.414 ≈ 20 m
Therefore, the length of the diagonal of the square garden is approximately 20 meters.