The area of a square garden is 400 m 2 . How long is the diagonal? Round your answer to the hundredths place. (1 point) Responses 6.32 m 6.32 m 18 m 18 m 28.28 m 28.28 m 20 m
To find the length of the diagonal of a square garden, we can use the Pythagorean theorem.
Since a square has all sides equal, let's assume the length of one side is "s."
The area of the square is given as 400 m^2, so we can write the equation:
s^2 = 400
Taking the square root of both sides gives:
s = √400
s = 20 m
Now, we can use the Pythagorean theorem with the sides of the square to find the length of the diagonal (d).
Using the formula:
d^2 = s^2 + s^2
d^2 = 20^2 + 20^2
d^2 = 400 + 400
d^2 = 800
Taking the square root of both sides gives:
d = √800
d ≈ 28.28 m
Therefore, the length of the diagonal is approximately 28.28 m.
The correct response is: 28.28 m.