Question

A rectangular swimming pool is 6 it 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

1344 cubic feet. Find the dimensions of the pool.

Answer 1

8 feet by 28 feet by 6 feet

Explanation:

So volume is length times width times height

It tells us that the volume is 1344 cubic feet (the water used to fill it)

And it also tells us that the height/depth (which are the same thing in this case) is 6ft

All we need now are length and width

We know that one of the sides is 3.5 times the other one. So we can just say length is x and width is 3.5x

So plugging that in, the equation becomes

`3.5x*x*6=1344`

3.5 x times x is just 3.5x squared so

`3.5x^2*6=1344`

divide both sides by 6

`3.5x^2=244`

divide by 3.5

`x^2 =64`

`x=√(64)`

x = 8

So that means the one side is 8 feet long and the other side is 3.5 times that, which is 28 feet long.

So the dimensions of the pool are 8 feet by 28 feet by 6 feet