Question

Please help me out boys​

Answer 1

Check the picture below.

`~\hfill \stackrel{\textit{\large distance between 2 points}}{d = √(( x_2- x_1)^2 + ( y_2- y_1)^2)}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{-4}~,~\stackrel{y_1}{0})\qquad B(\stackrel{x_2}{2}~,~\stackrel{y_2}{3}) ~\hfill AB=√((~~ 2- (-4)~~)^2 + (~~ 3- 0~~)^2) \\\\\\ ~\hfill AB=√(( 6 )^2 + ( 3)^2)\implies \boxed{AB=√(45)}`

`B(\stackrel{x_1}{2}~,~\stackrel{y_1}{3})\qquad C(\stackrel{x_2}{6}~,~\stackrel{y_2}{0}) ~\hfill BC=√((~~ 6- 2~~)^2 + (~~ 0- 3 ~~)^2) \\\\\\ ~\hfill BC=√(( 4)^2 + ( -3)^2)\implies \boxed{BC=5} \\\\\\ C(\stackrel{x_1}{6}~,~\stackrel{y_1}{0})\qquad D(\stackrel{x_2}{0}~,~\stackrel{y_2}{-3}) ~\hfill CD=√((~~ 0- 6~~)^2 + (~~ -3- 0~~)^2) \\\\\\ ~\hfill CD=√(( -6)^2 + ( -3)^2)\implies \boxed{CD=√(45)}`

`D(\stackrel{x_1}{0}~,~\stackrel{y_1}{-3})\qquad A(\stackrel{x_2}{-4}~,~\stackrel{y_2}{0}) ~\hfill DA=√((~~ -4- 0~~)^2 + (~~ 0- (-3)~~)^2) \\\\\\ ~\hfill DA=√(( -4)^2 + ( 3)^2)\implies \boxed{DA=5} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\LARGE Perimeter}}{√(45)~~ + ~~5~~ + ~~√(45)~~ + ~~5 ~~ \approx ~~ \text{\LARGE 23.42}}`