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
Let's find the length of one side of the square garden first.
The area of a square is given by side^2, where side is the length of one side of the square.
Given that the area of the garden is 400 m^2, we can find the length of one side by taking the square root of 400:
side = sqrt(400) = 20 m
Now, let's find the length of the diagonal of the square garden.
Using the Pythagorean theorem, the length of the diagonal (d) is given by d = sqrt(2) * side.
So, d = sqrt(2) * 20 = 28.28 m.
Therefore, the length of the diagonal is 28.28 m.