# Area / Length

1. May 12, 2006

### 3trQN

Is it meaningless to divide an area by a length?

2. May 12, 2006

### Tide

That depends! What are you trying to do?

3. May 12, 2006

### 3trQN

What does it depend on?

Im not trying to do anything but understand and remove ambiguity in my understanding.

4. May 12, 2006

### Tide

It depends on what you are trying to do. E.g., if you know the area of a rectangle and the length of one side then dividing that area by the length of the known side has meaning - it's the width of the rectangle.

5. May 12, 2006

### 3trQN

Sometimes i wonder why God does not number his Jigsaw puzzles. When your missing the starting peices, the rest just keeps falling apart.

Thx for the reply.

6. May 12, 2006

### DaveC426913

Area of a chess board: 64 square inches.
Length of the chess board: 8 inches.
What is its width?

7. May 12, 2006

### SpongeBobRhombusHat

It would also be meaningful if you were trying to maximize the ratio of the area contained within a curve to the lenght of the curve.

SBRH

8. May 12, 2006

### jasc15

i think spongebob hit it pretty close to answering the original question. There is a comparitive way to use a length to area, or an area to volume ratio. For example, for a given volume, what shape has the smallest surface area???? dimensionally, area divided by volume would give a result that is meaningless to understanding the answer to this question. im sure there is a more rigorous answer to this, but i havent studied it in any detail, so i have to rely on intuitive feel...

9. May 16, 2006

### rctrackstar2007

area is a length squared so to divide an area by a length would only provide you with another length

10. May 16, 2006

### HallsofIvy

Why "only"? That's a worthwhile result!:rofl:

11. May 16, 2006

### dav2008

What does that even mean?

12. May 16, 2006

### hypermonkey2

If this is one of those "but what does it all MEAN??" questions, perhaps it should be on the philosophy board. Richard Feynman refrained from talking metaphysics, so i reckon trackstar gave a decent answer if your question was physical.

13. May 16, 2006

### rctrackstar2007

a very good idea on his part

"Why "only"? That's a worthwhile result!" cuz i think he might be talking about more than just numbers like it says above