Abackyard pool has a concrete walkway around it that is 3 feet wide on all sides. the total area of the pool and the walkway is 970 ft2. if the length of the pool is 8 feet longer than the? width, find the dimensions of the pool. the length of the pool is nothing feet and the width is nothing feet.

Step-by-step explanation:

To fin the dimensions of the pool we need to use the total area of the pool plus the concrete walkway. Lets say that W is the width and L the length. We know that, the walkway has 3 ft wide, this means that the width and length are increased by 6ft (3ft on each side). So, the total area can be expressed like this:  .

In addition, we know that the total area is 970 and the length is 8 ft longer than the width (). So:

With this quadratic equation we're gonna have to solution, the most reasonable is part of the answer. So, solving the equation we have as solutions: and  

Therefore, the width is 21.4 ft, because the negative number cannot represent distances.

Using the relation between length and width:

Therefore, the dimensions of the pool are 29.4 length and 21.4 width.

7

step-by-step explanation:

-8/2y-8=5/y+4-7y+8/y^2-16

we move all terms to the left:

-8/2y-8-(5/y+4-7y+8/y^2-16)=0

we can not solve this equation