Harish keeps five dots on an empty sheet of paper. On joining the dots, a pentagon is formed. Find the area of the pentagon, \(ABCDE\), in which \(BL ⊥ AC\), \(DM ⊥ AC\), and \(EN ⊥ AC\). Also, \(AC =\) 14 \(cm\), \(AM =\) 10 \(cm\), \(AN =\) 3 \(cm\), \(BL =\) 2.5 \(cm\), \(DM =\) 11 \(cm\) and \(EN =\) 5 \(cm\).
The area of the pentagon is \(cm^2\).
[Note: Round off the answer obtained to the nearest whole number]