Question

the length of a room is 2 times its breadth and 3 times its height find the cost of carpeting the floor rate Rs 800 per square metre is Rs 19000 find the cost of plastering its walls and ceiling at Rs 45 per square metre​

Answer 1

Answer:

Height is 4 m

So, length = 12 m and breadth = (4*3)/2 = 6 m

Step-by-step explanation:

Solution :-

There is a mistake in the question. I think the total cost of whitewashing the four walls of the room must be Rs. 216 instead of Rs. 16. 

Let the height of the room be x meters

Then, the length will be 3x meters and the breadth will be 3x/2 meters

Now, Total cost of whitewashing the four wall is Rs. 216 and the cost of whitewashing is Rs. 1.50 per square meter.

Therefore, the painted area = 216/1.5

= 144 sq m

So, the area of the four walls is 144 sq m

Lateral Surface Area of Cuboid = 2H(L + B)

⇒ 2x(3x + 3x/2)

⇒ 2x(6x + 3x)/2

⇒ 2x*(9x/2)

⇒ 18x²/2 = 144

⇒ 9x² = 144

⇒ x² = 144/9

⇒ x² = 16

⇒ x = √16

⇒ x = 4 m

Height is 4 m

So, length = 12 m and breadth = (4*3)/2 = 6 m

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