The area of a square garden is 400 m 2
. How long is the diagonal? Round your answer to the hundredths place.
To find the length of the diagonal of the square garden, we can use the Pythagorean theorem.
Let the side length of the square garden be x.
Given that the area of the square garden is 400 m^2, we have:
x^2 = 400
Taking the square root of both sides, we get:
x = 20
So, the side length of the square garden is 20 meters.
To find the length of the diagonal, we can use the Pythagorean theorem:
Diagonal^2 = x^2 + x^2
Diagonal^2 = 20^2 + 20^2
Diagonal^2 = 400 + 400
Diagonal^2 = 800
Diagonal = √800
Diagonal ≈ 28.28
Therefore, the length of the diagonal of the square garden is approximately 28.28 meters.