Question 926721
let width be w yards
 length  = w+4
 area  = 77 square yards
 (length *width  =77 square yards)
  {{{ (w+4)*(w)= 77}}}
     {{{w(w)+4(w) =77}}}
         {{{ w^2 +4w =77}}}
         move 77 to the left 
      {{{ w^2+4w-77 =0}}}
    {{{ w^2 +11w-7w-77=0}}}
    {{{ w(w+11)-7(w+11)= 0}}}
  {{{(w+11)*(w-7)=0}}}
 possible cases :
         either w+11 =0  or w-7 =0
               w=-11        or w=7
w cannot be negative
Hence W= 7 yards
 length  =  7+4 =11 yards
Result : length  =11 yards
         width  = 7 yards