An office room is half as long again as it is broad. The cost of carpeting the office room at Rs 18 per m ^ 2 is Rs 972 and the cost of white-washing the four walls at Rs 6 per m ^ 2 is Rs 1080.

Can you find the height of the office room ?

+1 vote

An office room is half as long again as it is broad. The cost of carpeting the office room at Rs 18 per m ^ 2 is Rs 972 and the cost of white-washing the four walls at Rs 6 per m ^ 2 is Rs 1080.

Can you find the height of the office room ?

0 votes

Let Breadth=B=x metre

Then Length=L=1.5x metres

Floor area=A=L*B=x*1.5x=1.5x^2

Rate of carpeting=Rc=18/m^2

Cost of carpeting=Cc=972

972=A*Rc=(1.5x^2)*18

x=6

B=6 ,L=1.5*6=9.......................................................(i)

Let Height of floor=H

Area of four walls=Aw=2(L*H)+2(B*H)

Aw=2(9*H)+2(6*H)....................................from (i)

Aw=30H

Rate of white wash=Rw=6/m^2

Cost of white wash=Cw=1080

1080=Aw*Rw=30H*6

H=6

Height of wall is 6 metre

...