Final answer:
To find the length of the diagonal of a rectangular field, we can use the Pythagorean theorem. The length of the diagonal can be calculated using the formula: Length of diagonal = √(Length² + Width²). Plugging in the values, the length of the diagonal is approximately 721.11 yards.
Step-by-step explanation:
To find the length of the diagonal of a rectangular field, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the length and width of the rectangular field form the two sides of a right triangle, while the diagonal represents the hypotenuse. So, we can calculate the length of the diagonal using the formula:
Length of diagonal = √(Length² + Width²)
Plugging in the values, we have:
Length of diagonal = √(400² + 600²)
Simplifying the equation, we get:
Length of diagonal = √(160,000 + 360,000)
Length of diagonal = √520,000
Using a calculator, we find that the length of the diagonal is approximately 721.11 yards.