Final answer:
The length of the diagonal of the rectangular swimming pool is approximately 53.85 feet.
Step-by-step explanation:
To find the length of the diagonal of the rectangular swimming pool, we can use the Pythagorean theorem. The Pythagorean theorem states that the square of the length of the diagonal is equal to the sum of the squares of the lengths of the two sides.
In this case, the length of one side is 50 feet and the width is 20 feet. So, the equation to find the length of the diagonal is: Diagonal^2 = Length^2 + Width^2.
Plugging in the values, we have: Diagonal^2 = 50^2 + 20^2 = 2500 + 400 = 2900. Taking the square root of both sides gives us: Diagonal = √2900 = 53.85 feet.