+0

# Help!

0
111
2
+1110

In the diagram, the four points have coordinates A(0,1), B(1,3), C(5,2), and D(4,0). What is the area of quadrilateral ABCD?

Feb 20, 2019

#1
+18293
+2

Here is one solution:

Feb 20, 2019
#2
+4220
+1

We can use the Shoelace Formula to check for the answer.

Therefore, we have $$\frac{1}{2}\left|\left(0\cdot 3+1\cdot 2+5\cdot 0+4\cdot 1\right)-\left(1\cdot 1+3\cdot 5+2\cdot 4+0\cdot 0\right)\right|=\frac{1}{2}\left|6-24\right|=\frac{1}{2}\cdot 18=\boxed{9}.$$