Question 1027639: ABCD is a quadrilateral with A(1,1) B(9,25) C(15,23) D (0,-22). Find the exact area of ABCD.
How to find area of quadrilateral with uneven sides? Thanks
Answer by mananth(16946)   (Show Source):
You can put this solution on YOUR website! Use Co-ordinate geometry formula
draw the diagonal for the quadrilateral
if (x1,y1),(x2,y2),(x3,y3)
are the vertices of a triangle then its area is given by
|1/2(x1(y2−y3)+x2(y3−y1)+x3(y1−y2))|
A(1,1) B(9,25) C(15,23)
(x1,y1),(x2,y2),(x3,y3)
A=|(1/2)(1(23-25)+15(25-1)+9(1-23)|=80
A(1,1) C(15,23) D (0,-22).
A= |(1/2)(1(-22-23)+15(1--22)+0)|=150
Calculate and add
to get the area of quadrilateral
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