SOLUTION: Area of the floor of a room is 56 square meter and area of a wall of the room is 72 square meter. Find out the length, breadth and height of that room.

Algebra ->  Surface-area -> SOLUTION: Area of the floor of a room is 56 square meter and area of a wall of the room is 72 square meter. Find out the length, breadth and height of that room.      Log On


   

Question 784499: Area of the floor of a room is 56 square meter and area of a wall of the room is 72 square meter. Find out the length, breadth and height of that room.
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
That is a rather large room.
As a math problem, and as stated, it has an infinite number of solutions.
I am listing two solutions with round numbers and realistic dimensions.

1) The room's length and breadth could be
14 meters by 4 meters: %2814m%29%2A%284m%29=56m%5E2
Then the perimeter would be 36 meters: 14m%2B4m%2B14m%2B4m=36m
A wall area of 72 square meter with a room perimeter of 36 meters means a wall height of 2 meters:
72m%5E2%2F%2236+m%22=2m
That's a long room with a low ceiling. It could be a basement storage room.

2) The room's length and breadth could be
8 meters by 7 meters: %288m%29%2A%287m%29=56m%5E2
Then the perimeter would be 30 meters: 8m%2B7m%2B8m%2B7m=30m
A wall area of 72 square meter with a room perimeter of 30 meters means a wall height of 2.4 meters:
72m%5E2%2F%2230+m%22=2.4m
That would make a nice size classroom.