Answer :
Final answer:
The length of the pool is 13 yards and the width is 47 yards.
Explanation:
Let's start by assigning variables to the length and width of the pool. Let L be the length and W be the width. We know that the perimeter of a rectangle is given by the formula 2(L + W).
Given that the perimeter is 120 yards, we can write the equation as 2(L + W) = 120.
We are also told that the width is 8 yards more than 3 times the length, so we can write the equation W = 3L + 8.
Now we can substitute the value of W from the second equation into the first equation.
2(L + (3L + 8)) = 120
Simplifying, we get 2(4L + 8) = 120.
Further simplifying, we have 8L + 16 = 120.
Subtracting 16 from both sides, we get 8L = 104.
Dividing both sides by 8, we find L = 13.
Substituting this value back into the equation W = 3L + 8, we get W = 3(13) + 8 = 39 + 8 = 47.
Therefore, the length of the pool is 13 yards and the width is 47 yards.
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