Answer:
[tex]14 units[/tex]
Step-by-step explanation:
[tex]Solution:-[/tex]
[tex]A(5,1)B(7,1)[/tex]
[tex]\sqrt{(x_{1}-x_{2} ) ^{2}(y_{2} -y_{1}x^{2} }[/tex]
[tex]AB=\sqrt{(7-5)^{2} +(1-1)^{2} }[/tex]
[tex]= \sqrt{2^{2} } =2[/tex]
[tex]BC=\sqrt{7-7^{2}+(6-1)^{2} }[/tex]
[tex]=\sqrt{5^{2} } =5[/tex]
[tex]perimeter=2(AB)+2(BC)[/tex]
[tex]= 2(2)+2(5)\\[/tex]
[tex]= 4+10= 14[/tex]
[tex]-----------[/tex]
hope it helps...
have a great day!!