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

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.