The diagonal of a square can be calculated using the formula d = a√2, where d is the length of the diagonal and a is the length of one side of the square.
First, we need to find the side length of the square. Since the area of a square is given by the formula A = a², we can rearrange this to find a. Given the area of the garden is 50 m², we have:
a² = 50
To find a, we take the square root of both sides:
a = √50 ≈ 7.07 m
Now, we can substitute this value back into the diagonal formula:
d = 7.07 m × √2 ≈ 7.07 m × 1.414 ≈ 10 m
Therefore, the length of the diagonal of the square garden is approximately 10 meters.