Two forces are applied as shown to the corners $\backslash ($ B $\backslash )$ and $\backslash ($ D $\backslash )$ of a rectangular plate. Given: $\backslash ($ P$=82\backslash$mathrm$\{$~N$\}\backslash ).$

Determine the moment of the couple formed by the two forces by resolving each force into horizontal and vertical components and adding the moments of the two resulting couples. $($Round the final answer to three decimal places.$)$

$\backslash ($ M$=\backslash$quad $\backslash$mathrm$\{$N$\}\backslash$cdot $\backslash$mathrm$\{$m$\}\backslash )($Counterclockwise$)$