Question

The area of a square garden is 400 m2%0D%0A2%0D%0A. How long is the diagonal? Round your answer to the hundredths place. (1 point)%0D%0AResponses%0D%0A%0D%0A28.28 m%0D%0A28.28 m%0D%0A%0D%0A20 m%0D%0A20 m%0D%0A%0D%0A6.32 m%0D%0A6.32 m%0D%0A%0D%0A18 m

Answer 1

To find the length of the diagonal of a square, we can use the Pythagorean theorem.

Let's assume the length of one side of the square is x.

Since the area of the square is given as 400 m^2, we have the equation:

x^2 = 400

Taking the square root of both sides, we get:

x = √400

x = 20 m

Now, to find the length of the diagonal (d), we can use the Pythagorean theorem:

d^2 = x^2 + x^2

d^2 = 20^2 + 20^2

d^2 = 400 + 400

d^2 = 800

Taking the square root of both sides, we get:

d = √800

d ≈ 28.28 m

Therefore, the length of the diagonal is approximately 28.28 m.