Question 167369

given the length as (x + 7) 
            width x 

      then Area = l*w 
                 =  (x+7) * x  ..........(1)

given area = 198 squ .units


       i.e . (x + 7) x = 198 
              x^2  + 7x  = 198 
                 x^2 +7x -198 =0.

                 x^2 + 18 x -11x -198 =0 
                  x ( x +18 ) -11 (x + 18 ) = 0

                        (x - 11)  ( x +18 ) = 0 
                           x = 11 or x = -18
since x is width possible value is x = 11 .
                    l = x + 7 = 11 +7 = 18 

    i.e.  length = 18 units and width = 11 units