Answer: 82.8
Step-by-step explanation:
Parallelograms sides that are opposite each other are the same length. Meaning that The perimeter of the parallelogram would be [tex]12+12+14+14=52[/tex].
Then looking at the semi-circle to find its perimeter which the formula for that is [tex]\pi r+2r[/tex] r being the radius of the circle. Because we know that the side the parallelogram shares with the semi-circle is 12 we know the diameter of the circle which is if we divide by 2 will give us the radius of 6.
[tex]\pi *6+2*6= 6\pi +12=30.8[/tex]
Then you just add the parallelogram and the semi-circle perimeters
52+30.8=82.8
