Question

the length of a room is 50% more than its breadth.The cost of carpeting the room at rate of rupees 38.50 m^2 is rupees 924 and the cost of painting the walls at rate of rupees 5.50 per metre square is rupees 1320.Find the dimension of the room.

Answer 1

HEY DEAR ...

Let length (l)=x+1/2x=3/2x
Let breadth (b)=x
Area of floor=924×100/3850
l×b=24
3/2x×x=24
3/2x^2=24
x^2=24×2/3
x^2=4^2
x=4
Area of 4walls=1320×100/550
2 (l+b) h=240
10×h=240/2
h=12m
l=3/2×4=6m
b=x=4m

HOPE , IT HELPS ...

Answer 2

Let the length of room be a
Width = a + a/2 = 3a/2

Cost of carpeting = 924
Rate of carpeting = 38.5

Area of floor = Cost /Rate
= 924 / 38.5
= 24 m^2

Length *Width = 24 m^2
a*3a/2 = 24
=> 3a^2 = 48
=> a^2 = 16
=> a= 4 m

Length of room = 4 m
Width of room = 6 m

Now,

Cost of painting =1320
Rate of painting = 5.5

Area of four walls = Cost /Rate
=>2(Length +width) *Height = 1320/5.5
=> 2*10 * Height = 240
=> 20 *Height = 240
=> Height = 12 m

Dimension of room are 4m ×6m ×12 m