Respuesta :

Answer:

See below

Step-by-step explanation:

L = length

W = 2 feet less than L   = L-2

Area = L x W

     20   = L  *  (L-2)

     20 = L^2 - 2L

        0 = L^2 - 2L - 20

     Use Quadratic Formula   a = 1     b = -2      c = -20

           L =  [-b ± sqrt(b^2-4ac) ]/2a

            to calculate L = 5.5826 ft      then W = L-2 = 3.5826  ft  

Let's Length be x and width be x-2

So

  • Area=20
  • x(x-2)=20
  • x²-2x=20
  • x²-2x-20=0

On solving

  • x=5.6ft

L=5.6

W=5.6-2=3.6ft