A room is half as long again as it is broad. The cost of carpeting the at Rs. 5 per sq. m is Rs. 270 and the cost of papering the four walls at Rs. 10 per m2 is Rs. 1420. If a door and 2 windows occupy 8 sq. m, find the height of the room.  Choose the correct choice from the following options:
A) 4 m
B) 4.5 m
C) 5 m
D) 5.5 m
E) 6 m
Explanation:   Let breadth = x m, length = 3x m, height = H metres.   Area of the floor = (Total cost of carpeting)/(Rate/m2)=(270/5)m2=54m2.   x× (3x/2) = 54 =&gt;x2 = (54×2/3) = 36 &lt;=&gt; x = 6.   So, breadth = 6 m and length =(3/2)×6 = 9 m.   Now, papered area = (1420/10)m2 = 142 m2.   Area of 1 door and 2 windows = 8 m2.   Total area of 4 walls = (142 + 8) m2 = 150 m2   2×(9+ 6)× H = 150 &lt;=&gt; H = 150/30= 
<gadget id="calculator">150/30</gadget>
<output>5</output>
5 m.   Answer: Option 5 m
<result>C</result>
A room is half as long again as it is broad. The cost of carpeting the at Rs. 5 per sq. m is Rs. 270 and the cost of papering the four walls at Rs. 10 per m2 is Rs. 1420. If a door and 2 windows occupy 8 sq. m, find the height of the room.