Answer:
[tex]\large\boxed{P=(20+4\pi)\ cm}[/tex]
Step-by-step explanation:
Look at the picture.
The circumference of this shape is equal to the sum of half the circumference of the circle and the perimeter of the rectangle.
half the circumference of the circle:
[tex]l=\dfrac{1}{2}(2\pi(4))=4\pi\ cm[/tex]
the perimeter of a rectangle:
[tex]P_R=2(6+4)=2(10)=20\ cm[/tex]
The perimeter of the shape:
[tex]P=l+P_R\to P=4\pi+20[/tex]
