Hi,

     .

A = (w+10)w = 80cm^2

w^2 + 10w - 80 = 0 

(Tossing out the negative solution for unit measure)

w = 5.247 (rounded) and L = 15.247 

P = 2(20.247) cm = 40.247

 


 
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=420 is greater than zero. That means that there are two solutions: .

  

    

    

    

    Quadratic expression  can be factored:

  

  Again, the answer is: 5.2469507659596, -15.2469507659596.
Here's your graph:



  

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