Answer:
[tex]4\pi + 12[/tex]
Step-by-step explanation:
The perimeter of a square is P = 4s where s is the side length. The perimeter of the square is P = 4*4 = 16 cm. However, one side is covered by a semi circle and its length of 4 cm is not a part of the perimeter. So it is 16 - 4 = 12. The perimeter of the square s 12.
To find the perimeter of a semi-circle use the circumference formula. The circumference is [tex]C = 2\pi d[/tex]. However, since a semi circle is half a circle then the circumference is [tex]C = \pi d[/tex]. Since the semi-circle adjoins the square, its diameter is the side length of the square 4cm.
[tex]C = \pi * 4 \\C= 4\pi[/tex]
So the total perimeter is [tex]4\pi + 12[/tex]
