InterviewSolution
Saved Bookmarks
InterviewSolution
| 1. |
A room is half as long again as it is broad. The cost of carpeting the room at Rs 13 per `m^(2)` is Rs 702 and the cost of papering the walls at Rs 7 per `m^(2)` is Rs 1204. If 1 door and 2 windown occupy `8 m^(2)`, find find dimensions of the room |
|
Answer» Let the breadth of the room be x metres Then, its length `= (x + (x)/(2))` metres `= (3x)/(2)` metres Area of the floor `= (l xx b) = ((3x)/(2) xx x) m^(2) = (3x^(2))/(2) m^(2)` Also, area of the floor `= ("total cost of carpeting")/("rate per "m^(2))` `= ((702)/(13)) m^(2) = 54 m^(2)` `:. (3x^(2))/(2) = 54 rArr x^(2) = (54 xx (2)/(3)) = 36 = (6)^(2) rArr x = 6` `:.` breadth = 6m and length `= ((3)/(2) xx 6) m = 9m` Area of papered walls `= ("total cost of papering")/("rate per " m^(2))` `= (1204)/(7) m^(2) = 172 m^(2)` Area of 1 door and 2 windown `= 8 m^(2)` Area of 4 walls `= (172 + 8) m^(2) = 180 m^(2)` Let the height of the room be h metres Then, area of 4 walls `= {2 (l + b) xx h} = {2 (9 + 6) xxh} m^(2)` `= (30h) m^(2)` `:. 30h = 180 rArr h = (180)/(30) = 6m` Hence, length = 9m, breadth = 6m and height = 6m |
|