Answer:
[tex]5.069\ cm[/tex]
Step-by-step explanation:
we know that
The perimeter of the figure is equal to the circumference of a semicircle plus two times the length of [tex]12[/tex] mm
Find the circumference of a semicircle
The circumference of a semicircle is equal to
[tex]C=\pi D/2[/tex]
we have
[tex]D=1.7\ cm[/tex]
substitute
[tex]C=(3.14)(1.7/2)=2.669\ cm[/tex]
convert [tex]12[/tex]mm to cm
[tex]12\ mm=1.2\ cm[/tex]
The perimeter of the figure is equal to
[tex]2.669\ cm+2*1.2\ cm=5.069\ cm[/tex]
