Question

The cost of painting the four walls of a room 12 m long at ₹ 30 per m² is ₹ 7560 and the cost of covering the floor with mat at ₹ 25 per m² is ₹ 2700. Find the dimensions of the room. 

Answer 1

As, the rate of covering the floor = ₹ 25 per `m^2` 

And, the cost of covering the floor=₹2700  

So, the area of the floor  = `2700/25` 

⇒ ` "lenth" xx "breadth"=108`  

⇒ `12 xx breadth=108` 

⇒` breadth=108/12` 

∴` breadth = 9m`  

Also,

As, the rate of painting the four walls  =` Rs.30 per    m^2` 

And, the cost of painting the four walls = `Rs. 7560` 

So, the area of the four walls= `7560/30` 

Also,

As, the rate of painting the four walls= Rs 30 per `m^2` 

And, the cost of painting the four walls =` Rs 7560`  

So, the area of the four walls = `7560/30` 

⇒`2("Length" + "Breadth")height=252` 

⇒` 2(12+9) height=252` 

⇒`2(21)  height =252`  

⇒` 42 xx height=252` 

⇒  Height=`252/42` 

∴ `Height= 252/42` 

So, the dimensions of the room are `12mxx9xx6m`