Question 96916
      LET:
      HEIGHT OF PAINTING = H
      WIDTH OF PAINTING = W

     H= 5.54+ W
  AND 2(H + W) = 10844

 SO, 2( W + 5.54 +W )= 10844

    2(2W+ 5.54) = 10844

     4W + 11.08 = 10844
 
       4W = 10844 - 11.08

      4W = 10832.92

        W = 10832.92 / 4 

         W = 2708.23

SO, H = 2708.23 + 5.54
      = 2713.77

 SO, THE DIMENSIONS OF THE PAINTNG ARE   :2708.23 IN * 2713.77 IN

CHECK :

    2708.23 * 2 = 5416.46

    2713.77 * 2 = 5427.54

       5427.54 + 5416.46 = 10844