The perimeter of a triangular field is \[144\text{ }m\] and the ratio of its sides is\[3:4:5\]. What is the area of the field?

• A.  \[864\,{{m}^{2}}\]                         
• B.  \[468\,{{m}^{2}}\]         
• C.         \[824\,{{m}^{2}}\]         
• D.         \[486\,{{m}^{2}}\]