[tex]P = \frac{1}{2} *(a+b)*h[/tex]
a = [tex]3\sqrt{32} = 3\sqrt{2*16} = 12\sqrt{2}[/tex]
b = [tex]4\sqrt{72} = 4\sqrt{2*36} = 24\sqrt{2}[/tex]
h = [tex]\frac{2}{6}[/tex]
P = [tex]\frac{1}{2} * (12\sqrt{2} + 24\sqrt{2}) * \frac{2}{6} = \frac{1}{2} * 36\sqrt{2} * \frac{2}{6} = 6\sqrt{2}[/tex]