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In the diagram, the four points have coordinates $A(0,1)$, $B(1,3)$, $C(5,2)$, and $D(4.5,0)$.  What is the area of quadrilateral $ABCD$?

 Jan 14, 2024
 #1
avatar+128732 
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[ABCD]  =  [ EFGH] - [EBA] - [ FCB] - [CGD] - [ ADH]

 

[ABCD ] = (5 *3) - (1/2) [ 1 *2  + 4*1  + 2* (1/2)  + 4.5 *1 ]  =

 

15  - (1/2)  [ 2 + 4 + 1 + 4.5 ]  =

 

15  - (1/2) [ 11.5 ]  =

 

15 - 11.5 / 2  =

 

[30 - 11.5 ]  / 2 =   

 

9.25

 

cool cool cool

 Jan 14, 2024

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