Final answer:
To find the longest length Megan can swim in the pool, we use the Pythagorean theorem to calculate the length of the diagonal of the pool. The diagonal is approximately 53.85 yards.
Step-by-step explanation:
To find the longest length Megan can swim in the pool, we need to determine the length of the diagonal of the pool. We can use the Pythagorean theorem to do this. 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 of one side of the pool is 50 yards and the length of the other side is 20 yards. So, using the Pythagorean theorem, we have:
hypotenuse^2 = 50^2 + 20^2
hypotenuse^2 = 2500 + 400
hypotenuse^2 = 2900
hypotenuse = √2900
hypotenuse ≈ 53.85 yards
Therefore, the longest length Megan can swim in the pool is approximately 53.85 yards.