A room of the hall is such that the ratio of the height of the room to its semi perimeter is 6 : 10. the cost of paper to cover the wall of the room is Rs. 1700, when the width of the paper is 100 cm and the rate to cover the wall is Rs. 10 per meter. The door and window whose area is 40 m2 are not to be covered. The height of the room is

• A.  \[2\sqrt{6}\,m\]            
• B.  \[6\sqrt{0.475}\,m\] 
• C.  \[4\sqrt{6}\,m\]                        
• D.  \[5\sqrt{6}\,m\]