NEED ANSWER ASAP- FOR FINALS A rectangular swimming pool is 6 ft deep. One side of the pool is 2.5 times longer than the other. The amount of water needed to fill the swimming pool is 2940 cubic feet. Find the dimensions of the pool.

The smaller dimension of the pool is __ ft.
The larger dimension of the pool is __ ft.

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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step-by-step explanation: