Answer:
Area= 12 units squared, Perimeter= 16.12899
Step-by-step explanation:
[tex]AC= \sqrt{(4-0)^{2}+ (0+4)^{2}} = 4\sqrt{2}[/tex]
[tex]AB= \sqrt{(0-4)^{2}+ (2-0)^{2} } = 2\sqrt{5}[/tex]
[tex]BC= \sqrt{(0-0)^{2}+ (2+4)^{2} }= 6[/tex]
So, perimeter= [tex]4\sqrt{2} + 2\sqrt{5} +6= 16.12899[/tex]
[tex]Area= \frac{1}{2}bh\\[/tex]
[tex]= \frac{1}{2}BC\sqrt{(4-0)^{2}+(0-0)^{2} }[/tex]
[tex]= 12[/tex] [tex]units^{2}[/tex]
