What is the perimeter of the figure to the nearest tenth of a millimeter?
a.
9.4 millimeters
b.
12.0 millimeters
c.
21.4 millimeters
d.
30.8 millimeters

Perimiter is the distance around it

it can be split up into a rectangle and a semicircle

find the perimiter around the ractangle then the semicircle

so 2 sides are showing and 1 base so 3+3+6=12
rectangle total (not including part covered by semicircle because you don't include it) is 12

then semicircle

circumference=2 times pi times radius
2 times radius=diameter
diameter=6 because the base is 6 and that lines up with the diameter
so circumference=6 times pi
c=6pi

add
12+6pi=answer

the answer is 12+6π
(if you aprox pi to 3.14 then you would get an answer of 30.84)