Question

the length of a room is 50 per cent more than its breadth.The cost of painting the room is 38.50msquare is 924 rs and cost of white wash is Rs 5.50. per m square is 1320 rs . find dimensions of the room

Answer 1

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