Question

The length of a room is twice it's breadth and thrice it's height.If the cost of carpeting the floor at Rs.80 per sq.meter is Rs.9000.Find the cost of plastering it's walls and ceiling at Rs.35 per sq.meter.

Answer 1

Step-by-step explanation:

Let breadth = x m

Given: Length = 2 (breadth) = 2x

Height= 3 m

Area of door= 4m x 2m =8

{m}^{2}m2 

Now, if the area of four walls excluding door's dimensions, then

Area of four walls-8

{m}^{2}m2 

=100

{m}^{2}m2 

⇒Area of four walls=100+8=108................(i)

Also, Area of four walls=2(length+breadth)×height=2(2x+x)×3=6(3x)=18x..........(ii)

From (i)  & (ii), we get,

18x=108

⇒x=108/18

⇒x=6=breadth

∴length= 2x=12m  and

height = 3m(given)

Thus, Volume = length ×breadth × height= 12×6×3=216

{m}^{2}m2 

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