a)
P=4*l=[tex]24\sqrt{3}[/tex]=> l=6[tex]\sqrt{3}[/tex]
R=[tex]\frac{l\sqrt{2} }{2} =\frac{6\sqrt{6} }{2} =3\sqrt{3}[/tex]
a=[tex]\frac{l}{2} =3\sqrt{3}[/tex]
A=l[tex]^{2} =36*3=108[/tex]
b)
A=[tex]l^{2} =128=>l=8\sqrt{2}[/tex]
R=[tex]\frac{l\sqrt{2} }{2} =8[/tex]
a=l/2=[tex]4\sqrt{2}[/tex]
P=4*[tex]8\sqrt{2} =32\sqrt{2}[/tex]
c)
a=l/2=[tex]4\sqrt{3}=>l=8\sqrt{3}[/tex]
R=[tex]\frac{l\sqrt{2} }{2} =4\sqrt{6}[/tex]
A=[tex]l^{2} =64*3=192[/tex]
P=[tex]4*8\sqrt{3} =32\sqrt{3}[/tex]
d)
l=[tex]\sqrt{72} =6\sqrt{2}[/tex]
R=[tex]\frac{l\sqrt{2} }{2} =6[/tex]
a=[tex]\frac{l}{2} =3\sqrt{2}[/tex]
A=[tex]l^{2} =72[/tex]
P=4*l=[tex]24\sqrt{2}[/tex]
e)
R=[tex]\frac{l\sqrt{2} }{2} =4\sqrt{6}=>l\sqrt{2}=8\sqrt{6}=>l=\frac{8\sqrt{6}}{\sqrt{2}} =8\sqrt{3}[/tex]
a=l/2=[tex]4\sqrt{3}[/tex]
A=[tex]l^{2} =64*3=192[/tex]
P=4*l=[tex]32\sqrt{3}[/tex]
Bafta!
