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A rectangular swimming pool is 8 ft deep. One side of the pool is 3.5 times longer than the other. The amount of water needed to fill the swimming pool is 2800 cubic feet. Find the dimensions of the pool. The smaller dimension of the pool is enter your response here ft and the larger dimension is enter your response here ft.

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sqdancefan

Answer:

  • smaller: 10 ft
  • larger: 35 ft

Step-by-step explanation:

The volume of the pool is given by ...

  V = LWH

Here, we have ...

  V = 2800 ft³

  H = 8 ft

  L = 3.5W

Filling in these values, we have ...

  2800 ft³ = (3.5W)(W)(8 ft)

  100 ft² = W² . . . . . . . . . . . . divide by 28 ft

  W = √(100 ft²) = 10 ft

  L = 3.5W = 35 ft

The pool is 10 ft by 35 ft.

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