How to find Length and Breadth of a Rectangle represented by co-ordinates

[babusek]

How to find Length and Breadth of a Rectangle represented by co-ordinates?
example:rectangle represented by (a,b) (c,d) (e,f) (g,h)

[Dormilich]

you can do it vector-like by computing the absolute of adjacent points

 x = | ⎛a⎞ – ⎛c⎞ |
     | ⎝b⎠   ⎝d⎠ |
 
// x, =, – should be in the middle

[babusek]

hi Dormilich,
can you please explain your solution a bit.
Thanks,
Sekhar

[jkmyoung]

Find the length of (a,b) to (c,d)
Find the length of (c,d) to (e,f)

One is the length and the second is the breadth

[Glenton]

Do you know whether the points are in order? (a,b) to (c,d) might be a diagonal?
Do you know whether the points are, in fact, a rectangle?

If you know that it's a rectangle, but don't know what order the points are in, you could find three lengths from (a,b) to the other three points
{hint: length = sqrt((a-c)^2+(b-d)^2)}
and then the shortest is the breadth, the middle is the length and the longest is the diagonal.