The coordinates of centre of mass of a uniform flag shaped lamina (thin flat plate) of mass 4 kg (The coordinates of the same in S.I. system are shown in figure) is 

$\begin{array}{l}Coordinates of two shaded parts \left(having equal area and mass\right) are \left(0.5 , 1\right) and\left(1 , 2.5\right)\text{}\\ In vector form, \\ {\overrightarrow{r}}_{cm}=\frac{m_1\widehat{r_1}+m_2\widehat{r_2}}{m_1+m_2}\text{}\\ \Rightarrow {\overrightarrow{r}}_{cm}=\frac{2\times \left(\frac{\stackrel{\wedge }{i}}{2}+\stackrel{\wedge }{j}\right)+2\times \left(\stackrel{\wedge }{i}+\frac{5\stackrel{\wedge }{j}}{2}\right)}{4} \\ \Rightarrow {\overrightarrow{r}}_{cm}=\frac{3}{4}\stackrel{\wedge }{i}+\frac{7}{4}\stackrel{\wedge }{j}\text{}\\ Hence coordinates of COM is \left(0.75 , 1.75\right) \end{array}$