[tex]P_{BCF} = \frac{1}{2}\cdot|BC| \cdot h_2 = \frac{1}{2}\cdot6cm\cdot3cm = 9 \ cm^{2}\\\\P_{ABDE}=|AB|\cdot H = 4cm\cdot5cm = 20 \ cm^{2}\\\\P_{ACDE} = \frac{|AC|+|DE|}{2}\cdot H = \frac{10cm+4cm}{2}\cdot5cm = 35 \ cm^{2}\\\\P_{EFD} = \frac{1}{2}\cdot|ED|\cdot h_1 = \frac{1}{2}\cdot4cm\cdot2cm = 4 \ cm^{2}\\\\P_{ABFE} = P_{ABDE} - P_{EFD} = 20 \ cm^{2} - 4 \ cm^{2} = 16 \ cm^{2}[/tex]
