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 A quadrilateral has four points A(0,1), B(1,-3), C(5,-2) and D(4,0) as coordinates  What is the area of quadrilateral ABCD?

 Feb 12, 2021
 #1
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HOPE THIS HELPS!!

 Feb 12, 2021
 #2
avatar+116125 
+1

We can use  something  known as Pick's Theorem  here

 

Lattice point  =  a point  with integer  coordinates

 

 

The  area  is  given by

 

# Lattice points  in interior of  figure +  ( # lattice points  on boundary)  / 2    -1   =

 

11  +   4/2   -  1    =

 

11  + 2   - 1   =

 

12 units^2

 

 

cool cool cool

 Feb 12, 2021

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