Question

Find the perimeter and area of the polygon with the given vertices. Round your answers to the nearest tenth, if necessary. E(6,2), F(6, 5), G( - 1, 5)​

Answer 1

`~\hfill \stackrel{\textit{\large distance between 2 points}}{d = √(( x_2- x_1)^2 + ( y_2- y_1)^2)}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ E(\stackrel{x_1}{6}~,~\stackrel{y_1}{2})\qquad F(\stackrel{x_2}{6}~,~\stackrel{y_2}{5}) ~\hfill EF=√((~~ 6- 6~~)^2 + (~~ 5- 2~~)^2) \\\\\\ ~\hfill EF=√(( 0)^2 + ( 3)^2)\implies EF = 3 \\\\\\ F(\stackrel{x_1}{6}~,~\stackrel{y_1}{5})\qquad G(\stackrel{x_2}{-1}~,~\stackrel{y_2}{5}) ~\hfill FG=√((~~ -1- 6~~)^2 + (~~ 5- 5~~)^2)`

`~\hfill FG=√(( -7)^2 + ( 0)^2)\implies FG=7 \\\\\\ G(\stackrel{x_1}{-1}~,~\stackrel{y_1}{5})\qquad E(\stackrel{x_2}{6}~,~\stackrel{y_2}{2}) ~\hfill GE=√((~~ 6- (-1)~~)^2 + (~~ 2- 5~~)^2) \\\\\\ ~\hfill GE=√(( 7)^2 + (-3)^2)\implies GE=√(58) \\\\[-0.35em] ~\dotfill\\\\ 3~~ + ~~7~~ + ~~√(58) ~~ \approx ~~ \text{\LARGE 17.6}`