Let breadth = x metres, length = 3x metres, height = H metres.  Area of the floor=(Total cost of carpeting)/(Rate) = (270/5) sq.m = 54 sq.m  x × 3 x 2 = 54 ? x 2 = 54 × 2 ? x = 6    So, breadth = 6 m and length = 3 6 2  = 9 m. Now, papered area = (1720/10) =  172 sq.m  Area of 1 door and 2 windows = 8 sq.m  Total area of 4 walls = (172 + 8) sq.m = 180 sq.m  2 × 9 + 6 H = 180 ? H = 6