Expert: Paul Klarreich - 2/3/2012

Question
a room of area 18m^2 is divided into six cubicles of equal floor area by erecting two wooden partitions 2 m high parallel to one wall and another partition 2 m high parallel to another wall.Find the dimensions of the room if the least amount of wood is used?

Answer
Questioner:Rubelyn
Question:

a room of area 18m^2 is divided into six cubicles of equal floor area by erecting two wooden partitions 2 m high parallel to one wall and another partition 2 m high parallel to another wall.Find the dimensions of the room if the least amount of wood is used?
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Start with:

X = width of room
Y = length

and XY = 18

Now assume you will divide X in three parts, so you will have two walls of length Y, one of X.

So you want to minimize  

C = 2Y + X.

You can go on from there.