In parallelogram ABCD, A = (3,4), B = (1,3), C = (5,1), and D = (7, 2). Find the area of the parallelogram.


For the longer side, I used the Pythagorean theorem and found the length was 2 root 5. I tried to find the height of the parallelogram but, I can't use the Pythagorean theorem because it's not the side it's the height. I was wondering if you could explain this pls.

 May 22, 2021

See  if  this  helps




Find  the  area  of  rectangle  EFGH


Then   subtract  the  areas of  right triangles   EBA , AHD, BFC   and  CGD


This will give you the area  of  ABCD


(Remember  that  the area  of a right triangle  =   product of leg lengths  /  2    )


Let me know if you get stuck  !!!!



cool cool cool

 May 22, 2021

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