The height of a room to its semi-perimeter is 2:5. It costs Rs.260 to paper the walls of the room with paper 50cm wide at Rs.2 per meter allowing an area of 15 sq.m for doors and windows. The height of the room is:
Correct answer: C
Explanation
Let, height= 2x metres & (length+ breadth)= 5x metres.
Length of paper= (260/2)m= 130m.
Therefore, area of paper= (130*50/100)= 65m2
Area of 4 walls= (65+15)=80m2
2(length+breadth)*height=80.
Therefore, 2*5x*2x=80 or x2=4 or x=2
Therefore, height of the room= 4m
C
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