Final answer:
To determine the width of the rectangular pool, set up an equation based on the given information. Solve the equation to find the value of 'w', which represents the width of the pool. The width of the rectangular pool is approximately 8.18 yards.
Step-by-step explanation:
To determine the width of the rectangular pool, we need to set up an equation based on the given information. Let's let 'w' represent the width of the pool. According to the problem, the length is 1/3 less than twice the width, so the length can be represented as (2w - 1/3w). The perimeter of the pool is given as 60 yards, so the equation can be set up as follows: 2w + 2(2w - 1/3w) = 60. Simplifying this equation will give us the value of 'w'.
Expanding the equation, we have: 2w + 4w - 2/3w = 60. Combining like terms, we get: 8w - 2/3w = 60. Multiplying both sides by 3 to get rid of the fraction, we have: 24w - 2w = 180. Simplifying further, we get: 22w = 180. Dividing both sides by 22, we find that 'w' is approximately 8.18.
Therefore, the width of the rectangular pool is approximately 8.18 yards.