8. Determine the area of the pentagon formed

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,  \(AC =\) 22 \(cm\), \(AM =\) 12 \(cm\), \(AN =\) 6 \(cm\), \(BL =\)  2.8 \(cm\), \(DM =\) 12 \(cm\) and \(EN =\) 8 \(cm\).

 

 

The area of the pentagon is  \(cm^2\).

 

[Note: Round off the answer obtained to the nearest whole number]