The area of a square garden is 400m ^ 2 How long is the diagonal? Round your answer to the hundredths place .A ) 18 m B) 28.28 m C) 20 m D) 6.32 m
Let's assume that the side length of the square garden is "s" meters.
We know that the area of the square is 400m^2.
The formula for the area of a square is: A = s^2.
We can set up the equation: s^2 = 400.
To find the length of the diagonal (d), we can use the Pythagorean theorem. In a square, the diagonal connects two opposite corners, forming a right triangle. The Pythagorean theorem states: d^2 = s^2 + s^2.
Since we know that s^2 = 400, we can substitute it into the equation: d^2 = 400 + 400 = 800.
Taking the square root of both sides, we get: d = √800 ≈ 28.28.
Therefore, the length of the diagonal is approximately 28.28 meters. The correct answer is B) 28.28 m.