SOLUTION: Can u tell me the formulae for finding area of parallelogram with 4 coordinates?

Algebra ->  Algebra  -> Parallelograms -> SOLUTION: Can u tell me the formulae for finding area of parallelogram with 4 coordinates?      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   


Question 563081: Can u tell me the formulae for finding area of parallelogram with 4 coordinates?
Answer by richard1234(5390) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose the coordinates are (0,0), (a,b), (c,d) and (a+c,b+d) (we may assume one of the coordinates is (0,0) in order to fix a point). Then the area is equal to the determinant of the matrix
|a b|
|c d|

or ad-bc.