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?

Guest Apr 30, 2022

#1**+1 **

We can enclose the shape in a \(5 \times 4 \) grid. From here, we can subtract the areas of the regions that do not lie in the shaded shape (see graph below)

Doing so, we find the area is \(20 - 2 - 2 - 2 - 1 - 1 = \color{brown}\boxed{12}\)

Here is the graph:

BuilderBoi Apr 30, 2022

#1**+1 **

Best Answer

We can enclose the shape in a \(5 \times 4 \) grid. From here, we can subtract the areas of the regions that do not lie in the shaded shape (see graph below)

Doing so, we find the area is \(20 - 2 - 2 - 2 - 1 - 1 = \color{brown}\boxed{12}\)

Here is the graph:

BuilderBoi Apr 30, 2022