Answer :
Final answer:
To solve this problem, we can set up an equation to find the dimensions of the rectangular in-ground pool. Then, we can calculate the perimeter of the top of the pool and add the required safety fence to find the total linear feet of fencing needed.
Explanation:
To find the dimensions of the rectangular in-ground pool, we can set up an equation using the information given. Let's let the width of the pool be 'w'. The length of the pool will then be 2w - 2 feet. The area of the pool is given as 480 square feet, so we can write the equation: w * (2w - 2) = 480. Solving this quadratic equation, we find w = 16 and 6 (the negative solution is discarded as it doesn't make sense in this context).
Now that we know the width is 16 feet, we can calculate the length to be 2 * 16 - 2 = 30 feet. The perimeter of the top of the pool is then 2 * (16 + 30) = 92 feet.
To determine the length of the required safety fence, we need to add 2 feet to each side of the pool's perimeter, as the fence is placed 1 foot from the edge of the water on all sides. Therefore, the total linear feet of fencing required is 92 + 2 + 2 + 2 + 2 = 100 feet.
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