2(w + 5w-8) = 140
find w, then the length.
Volume is l*w*d
find w, then the length.
Volume is l*w*d
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.