The area of a square garden is 400 m 2 . How long is the diagonal? Round your answer to the hundredths place.
18 m
28.28 m
6.32 m
20 m
The formula for the diagonal of a square is d = s√2, where s is the length of one side of the square. Since the area of the square garden is 400 m^2, the side length can be found by taking the square root of the area.
√400 = 20
Therefore, the length of one side of the square is 20 m.
Using the formula for the diagonal, we can calculate:
d = 20√2 ≈ 28.28 m
Therefore, the diagonal of the square garden is approximately 28.28 m.
The answer is 28.28 m.