Answer:
The perimeter of the figure is [tex]114.24\ in[/tex]
Step-by-step explanation:
we know that
The perimeter of the figure is equivalent to the perimeter of a square plus the perimeter of a semicircle
step 1
Find the perimeter of square
The perimeter of square is equal to
[tex]P=4b[/tex]
where
b is the length side of the square
we have
[tex]b=16\ in[/tex]
substitute
[tex]P=4(16)=64\ in[/tex]
step 2
Find the circumference of a semicircle
The circumference of a semicircle is equal to
[tex]C=\pi r[/tex]
we have
[tex]r=16\ in[/tex]
[tex]\pi=3.14[/tex]
substitute
[tex]C=3.14(16)=50.24\ in[/tex]
step 3
Find the perimeter of the figure
[tex]64\ in+50.24\ in=114.24\ in[/tex]