The length of a pool is 8 times less than 5 times the width of the rectangular pool. The total distance around the pool is 140 feet. What is the actual length and width of the pool? what is the volume of the pool if the pool is 4 feet deep?

2(w + 5w-8) = 140

find w, then the length.
Volume is l*w*d

To find the length and width of the pool, we can break down the information given in the problem.

Let the width of the pool be represented by the variable "w."
According to the problem, the length of the pool is 8 times less than 5 times the width. This can be written as:
Length = 5w - 8(8 times less than 5w)

The total distance around the pool is given as 140 feet. The formula to calculate the perimeter of a rectangular pool is 2*(Length + Width).

Now, we can set up the equation using the given information and solve for the length and width:

2*(Length + Width) = Total Distance Around the Pool

Substituting the expressions for Length and Width into the equation:

2*((5w - 8) + w) = 140

Now, we can simplify and solve for "w":

2*(6w - 8) = 140
12w - 16 = 140
12w = 156
w = 156/12
w = 13

So, the width of the pool is 13 feet.

Now, substitute the value of "w" into the expression for the length:

Length = 5w - 8
Length = 5(13) - 8
Length = 65 - 8
Length = 57 feet

The actual dimensions of the pool are a length of 57 feet and a width of 13 feet.

To find the volume of the pool, we need to multiply the length, width, and depth.

Volume = Length * Width * Depth

Given that the pool is 4 feet deep, we can substitute the values into the formula:

Volume = 57 * 13 * 4
Volume = 2964 cubic feet

So, the volume of the pool is 2964 cubic feet.