How many square units are in the area of the convex quadrilateral with vertices (0, 0), (3, 0), (2, 2) and (0, 3)?
How many square units are in the area of the convex quadrilateral with vertices
\(P_1(0, 0), P_2(3, 0), P_3(2, 2)\ and\ P_4(0, 3)?\)
Hello Guest!
\(A=A_{tra}+A_{tri}\)
\(A_{tra}=\frac{1}{2}\cdot (y_2+y_3)\cdot x_3=\frac{1}{2}\cdot(3+2)\cdot 2=\color{blue}5\)
\(A_{tri}=\frac{1}{2}\cdot y_3\cdot (x_4-x_3)=\frac{1}{2}\cdot 2\cdot (3-2)=\color{blue}1\)
\(A=A_{tra}+A_{tri}=5+1=\color{blue}6\)
The area of the convex quadrilateral has 6 square units.
!