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Ramesh’s bedroom has a rectangular floor. He built the 4 walls of this room in Rs. 24000 at the rate of Rs. 20 per sq. m. What is height of his bedroom if perimeter of the floor is 150m?

  • A.5 m
  • B.8 m
  • C.15 m
  • D.16 m

Answer: B

Find the wall area from the cost, then use the perimeter.

\[ \text{area of 4 walls} = \frac{24000}{20} = 1200 \text{ m}^{2} \]

The four walls form a band of height \( h \) around the floor's perimeter:

\[ \text{area} = \text{perimeter} \times h \quad\Longrightarrow\quad 1200 = 150h \]

\[ h = 8 \text{ m} \]

Writing the wall area as \( 2(l+b)h \) is the same thing, since the perimeter \( 2(l+b) \) is already given as 150 m - the individual length and breadth are never needed.

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