the area of a square garden is 400 m^2. how long is the diagonal? round to the nearest hundredths place.
a. 28.28 m
b. 6.32 m
c. 18m
d. 20 m
To find the length of the diagonal of a square garden, we can use the formula d = s√2, where d is the diagonal and s is the side length of the square.
Given that the area of the square garden is 400 m^2, we can find the side length by taking the square root of the area.
√400 = 20
Therefore, the side length of the square is 20 meters.
Substituting this value into the formula for the diagonal, we get:
d = 20√2 ≈ 28.28 m
Therefore, the correct answer is a. 28.28 m.