Arectangle swimming pool is 8 feet deep. one side of the pool is 4.5 times longer than the other. the amount of water needed for the swimming pool is 3600 ft.³ find the dimensions of the pool.

The side lengths of the pool 10 ft and 45 ft.

SOLUTION:

Given, a rectangle swimming pool is 8 feet deep.  

One side of the pool is 4.5 times longer than the other.  

Let the length of pool be n feet, the width will be 4.5n feet

The amount of water needed for the swimming pool is 3600 cubic ft

We have to find the dimensions of the pool. Now, we know that,  

On taking square root on both sides we get,

So, the width will be

step-by-step explanation:

the ratio of red paint to blue paint is always 9/7. that means that, whatever x's value, (4x+12)/(4x-4) has that same ratio. so, set up an equation and cross-multiply to solve for x:

9/7 = (4x+12)/(4x-4)

9(4x-4) = 7(4x+12)

36x - 36 = 28x + 84

8x - 36 = 84

8x = 120

x = 15

step-by-step explanation:

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