Hi,

6X10 yd pool( 60 yd^2), 28 square yards 

 Area of Pool and Walkway = 88 yd^2

Let x be width of Walkway

 (6+2x)(10+2x) = 88

 4x^2 + 32x + 60 =88

 4x^2 + 32x -28 = 0

  x^2 + 8x - 7 = 0  

 


 
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation  (in our case ) has the following solutons:

  

  

  

  For these solutions to exist, the discriminant  should not be a negative number.

  

  First, we need to compute the discriminant : .

  

  Discriminant d=92 is greater than zero. That means that there are two solutions: .

  

    

    

    

    Quadratic expression  can be factored:

  

  Again, the answer is: 0.795831523312719, -8.79583152331272.
Here's your graph:



  

RELATED QUESTIONS

A landscaper wants to construct a walk of uniform width around a rectangular vegetable... (answered by ewatrrr)

a rectagular pond measures 3m by 5m. A concrete walk of uniform width is constructed... (answered by )

Constructing a Border around a Pool A circular pool measures 10 feet across.One cubic... (answered by ikleyn)

a rectangular lawn is 10 feet long and 9 feet wide. A concrete path of uniform width and... (answered by josgarithmetic)

Homework question: A circular pool measures 14 feet across. One cubic yard of concrete is  (answered by solver91311)

Constructing a Border around a Pool:

A pool in the shape of a circle measures 10 feet... (answered by ankor@dixie-net.com)

A concrete walk of uniform width is to be built around a circular pool, as shown in the... (answered by josgarithmetic)

A concrete walk of uniform width is to be built around a circular pool, as shown in the... (answered by KMST)

Please help me solve this problem:

     A rectangular pond measures 3m by 5m. A... (answered by checkley77,nerdybill)