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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?

 Jun 9, 2022
 #1
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Here's one way:

 

 

Find the area of rectangle AEGF  = 5 * 4    =  20

 

From this, subtract the areas of

Triangle  ADE  = (1/2) (5)(1)  = 2.5

Triangle  CDE (1/2) (3)(1)  = 1.5

Triangle   BCG = (1/2)(4)(1)  = 2

Triangle AFB  = (1/2) ( 4)(1)  =  2

 

The result is the  area you want

 

I'll leave the computations  for you

 

cool cool cool

 Jun 9, 2022

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