a) trapez
[tex]a = \sqrt{32} \ cm=\sqrt{16\cdot2} \ cm = 4\sqrt{2} \ cm\\b = \sqrt{2} \ cm\\h = 4\sqrt{2} \ cm\\\\P = \frac{a+b}{2}\cdot h\\\\P = \frac{4\sqrt{2} \ cm+\sqrt{2} \ cm}{2}\cdot 4\sqrt{2} \ cm =5\sqrt{2} \ cm\cdot2\sqrt{2} \ cm=10\cdot 2 \ cm^{2}\\\\\boxed{P = 20 \ cm^{2}}[/tex]
b) romb
[tex]d_1 = 8\sqrt{3} \ cm\\d_2 = 6\sqrt{3} \ cm\\\\P = \frac{d_1\cdot d_2}{2}\\\\P = \frac{8\sqrt{3} \ cm\cdot6\sqrt{3} \ cm}{2} = \frac{48\cdot3}{2} \ cm^{2} = 24\cdot 3 \ cm^{2}\\\\\boxed{P = 72 \ cm^{2}}[/tex]
