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

Answer 1

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.