Answer:
Length = 8 inch , Width =  , This equation models the situation
 , This equation models the situation 
Step-by-step explanation:
Given as ;
The Area of Rectangle is 12 inches² 
The Length of Rectangle is 5 inches longer than twice the width
Let The Length = L inches 
       The Width   = W inches
According to question , 
L = 5 + (2 × w )
∵ The Area of Rectangle = Length × width 
Or, 12  inches²  = [ 5 + (2 × w ) ] ×  w
Or,  12  inches² = 5 w +2 w² 
Or,  2 w² + 5 w  - 12 = 0 
Or,   2 w² + 8 w  -3 w - 12 = 0 
Or,  2 w (w +4) - 3 (w + 4) = 0
I.e (w + 4) ( 2 w - 3) = 0
So ,  w = -4 , and w = 
∴  Length = 5 + (2 × w ) = 
    Length = 5 + (2 × )
  )  
so ,  L = 5 + 3 = 8 
Hence Length = 8 inch , Width =  This equation models the situation Answer
   This equation models the situation Answer