Arectangular swimming pool is 6 ft deep. one side of the pool is 4.5 times longer than the other. the amount of water needed to fill the swimming pool is 3888 cubic feet. find the dimensions of the pool.

Dimension of pool are length = 12 feet, width = 54 feet and depth = 6 feet.

Solution :  

Need to find dimensions of a swimming pool.

Depth of pool = 6 feet

Given that one side of the pool is 4.5 times longer than other.

Let’s say width of pool = x

So other side that is length of the pool = 4.5x  

volume of pool = --- eqn 1

Also given that amount of water needed to fill the pool is 3888 cubic feet that is volume of pool is 3888 cubic feet. Substituting volume in equation (1)

Now solving above equation for x.

so x = 12

so width of pool = x = 12 feet  

By substituting the value of “x” we get length of pool

And length of pool = 4.5x = 4.5 12 = 54 feet

Hence dimension of pool are length = 12 feet, width = 54 feet and depth = 6 feet.  

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.