[tex]x-\ length\\\\
(x-2)\ -\ width\\\\
Formula\ for\ perimeter\ of\ rectangle:\\\\
Perimeter=2length+2width\\\\
Perimeter=24m\\\\
24=2x+2(x-2)\\\\
24=2x+2x-4\\\\
24=4x-4\ \ \ |Add\ 4\\\\
28=4x\ \ \ | Divide\ by\ 4\\\\
x=7\\\\
Width\ is\ equal\ to\ 5m.
[/tex]