Question

The length of a room is 50per cent more than its breadth. The cost of carpeting the room at the rate of RS 38.50 meter square is Rs 924 and the cost of painting the walls at the rate of RS 5.50 per meter square is Rs 1320 .find the dimensions of the room.

Answer 1

hope this will help you

Answer 2

Length of room=L
Breadth of room=B
Height of room=H
Since L is 50% more than breadth,
L=2B - - - - - - - - - (1)

Carpeting=₹924 @ ₹38.50/m²
Area of the room floor=924/38.50=23.75m²
L*B=23.75 - - - - - - - - - - - (2)
Put (1) in (2),
2B*B=23.75
2B²=23.75
B²=11.875
b = \sqrt{(11.875)}b=(11.875)​ 
B=3.446m
Hence L=2*3.446
L=6.892m


Painting the walls=₹1320 @ ₹5.50/m²
Area of four walls=1320/5.50=240m²
(L*H) + (B*H) + (L*H) + (B*H) = 240
2(L*H)+2(B*H)=240
2[(L*H)+(B*H)]=240
(L*H)+(B*H) =120
H(L+B)=120
H*(6.892+3.446)=120
H*10.338=120
H=120/10.338
H=11.608m

Hence dimensions of the room are
Length=L=6.892m
Breadth=B=3.446m
Height=H=11.608m