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?
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