Answer:
8 feet by 28 feet by 6 feet
Step-by-step explanation:
So volume is length times width times height
It tells us that the <u>volume</u> is 1344 cubic feet (the water used to fill it)
And it also tells us that the <u>height/depth</u> (which are the same thing in this case) is 6ft
All we need now are <u>length and width</u>
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](https://tex.z-dn.net/?f=3.5x%2Ax%2A6%3D1344)
3.5 x times x is just 3.5x squared so
![3.5x^2*6=1344](https://tex.z-dn.net/?f=3.5x%5E2%2A6%3D1344)
divide both sides by 6
![3.5x^2=244](https://tex.z-dn.net/?f=3.5x%5E2%3D244)
divide by 3.5
![x^2 =64](https://tex.z-dn.net/?f=x%5E2%20%3D64)
![x=\sqrt{64}](https://tex.z-dn.net/?f=x%3D%5Csqrt%7B64%7D)
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.
<u>So the dimensions of the pool are 8 feet by 28 feet by 6 feet</u>