Question

May you please help me find the perimeter of the figure with the given vertices? (also round to the nearest tenth)

Answer 1

Using the distance formula as,

`d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}`
`\begin{gathered} DE=\sqrt[]{(5-0)^2+(4-1)^2} \\ DE=\sqrt[]{(5)^2+(3)^2} \\ DE=\sqrt[]{25+9} \\ DE=\sqrt[]{34} \end{gathered}`
`\begin{gathered} EF=\sqrt[]{(2-5)^2+(6-4)^2} \\ EF=\sqrt[]{(-3)^2+(2)^2} \\ EF=\sqrt[]{9+4} \\ EF=\sqrt[]{13} \end{gathered}`
`\begin{gathered} FD=\sqrt[]{(0-2)^2+(1-6)^2} \\ FD=\sqrt[]{(-2)^2+(-5)^2} \\ FD=\sqrt[]{4^{}+25} \\ FD=\sqrt[]{29} \end{gathered}`
`\begin{gathered} \text{Hence Perimeter = DE+EF+FD} \\ =\sqrt[]{34}\text{ +}\sqrt[]{13}\text{ +}\sqrt[]{29} \end{gathered}`