Answer:
The perimeter is [tex]P=73.12\ cm[/tex]
Step-by-step explanation:
we know that
The perimeter of the figure is equal to the circumference of a semicircle
plus the perimeter of a square minus the diameter of the circle
so
[tex]P=\pi r+4(b)-D[/tex]
we have
[tex]r=8\ cm[/tex]
[tex]b=16\ cm[/tex]
[tex]D=16\ cm[/tex]
The diameter of the circle is equal to the length side of the square
substitute
[tex]P=(3.14)(8)+4(16)-16[/tex]
[tex]P=25.12+64-16[/tex]
[tex]P=73.12\ cm[/tex]
