If the perimeter of an isosceles right triangle is \[(6+3\sqrt{2})m,\]find the area of the triangle.

• A. \[3.2\text{ }{{m}^{2}}\]     
• B.      \[4.8\text{ }{{m}^{2}}\]    
• C.      \[~4.5\text{ }{{m}^{2}}\]              
• D.      \[6.4\text{ }{{m}^{2}}\]