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Three of the vertices of a parallelogram are (4,5), (1,0), and (2,2)  Find the area of the parallelogram.

 Jun 3, 2020
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Take out a sheet of graph paper.

1)  Plot the point (1,0); call this point A.

2)  Plot the point (2,2); call this point B.

3)  Plot the point (4,5); call this point C.

4)  Draw the line segments AB and BC; these will be the bottom and the right side of the parallelogram.

5)  Use this diagram to find point D.

6)  Find the length BC using the distance formula:  distance  =  sqrt[  (x2 - x1)2 + (y2 - y1)2 ] 

7)  Find the distance between BC and AD.

8)  Use the results of step 6 and step 7 to find the area of the parallelogram.

 Jun 3, 2020

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