Odpowiedź:
[tex]a)\\d=a\sqrt{2}\\9\sqrt{2}=a\sqrt{2}\\a=9\\Obw =4a=4*9=36cm}\\P=a^2\\P=9^2\\P=81cm^2}[/tex]
[tex]b)\\d=a\sqrt{2}\\\frac{\sqrt{2} }{2} =a\sqrt{2}/:\sqrt{2}\\a=\frac{1}{2} \\Obw=4a=4*\frac{1}{2} =2cm}\\P=4a\\P=(\frac{1}{2})^2 \\P=\frac{1}{4} cm^2}[/tex]
[tex]c)\\d=a\sqrt{2}\\\frac{1}{2} =a\sqrt{2}/:\sqrt{2}\\a=\frac{\sqrt{2} }{4} \\Obw=4a=4*\frac{\sqrt{2} }{4} =\sqrt{2}cm}\\{P=(\frac{\sqrt{2} }{4})^2=\frac{2}{16} =\frac{1}{8} cm^2}[/tex]
[tex]d)\\d=a\sqrt{2} \\3x=a\sqrt{2}/:\sqrt{2}\\a=\frac{3x\sqrt{2} }{2 }\\Obw=4a=4*\frac{3x\sqrt{2} }{2} =2*3x\sqrt{2}=6x\sqrt{2}cm} \\P=(\frac{3x\sqrt{2} }{2} )^2=\frac{9*2x^2}{4} =\frac{9x^2}{2} cm^2}[/tex]
