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8090 [49]
3 years ago
15

NEED ANSWER ASAP- FOR FINALS

Mathematics
1 answer:
puteri [66]3 years ago
4 0

Answer:

The smaller dimension of the pool is 14 ft.

The larger dimension of the pool is 35 ft.

Step-by-step explanation:

We are told that:

The rectangular swimming pool is 6 ft deep. Thus, depth: h = 6 ft

One side of the pool is 2.5 times longer than the other.

Thus, length = 2.5(width)

l = 2.5w and width = w

Volume; V = lwh = (2.5w × w × 6) = 15w²

The amount of water needed to fill the swimming pool is 2940 cubic feet.

Thus;

15w² = 2940

w² = 2940/15

w² = 196

w = √196

w = 14 ft

Length: L = 2.5w = 2.5 × 14 = 35 ft

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