Answer:
29.42 units
Step-by-step explanation:
1) Find the perimeter around the semi-circle
To do this, we find the circumference of the circle using the given diameter:
[tex]C=\pi d[/tex] where d is the diameter
Plug in 6 as the diameter
[tex]C=\pi (6)\\C=6\pi[/tex]
Divide the circumference by 2
[tex]\frac{6\pi }{2} \\= 3\pi[/tex]
Therefore, the perimeter around the semi-circle is 3π units.
2) Find the perimeter around the rest of the shape
Although it's impossible to determine the lengths of the varied sides on the right side of the shape, we know that all of those vertical sides facing the right add up to 6. We also know that all of those horizontal sides facing up add up to 7. Please refer to the attached images.
Therefore, we add the following:
7+6+7
= 20
Therefore, the perimeter around that area of the shape is 20 units.
3) Add the perimeter around the semi-circle and the perimeter around the rest of the shape
[tex]20+3\pi \\= 20+9.42\\= 29.42[/tex]
Therefore, the perimeter of the shape is approximately 29.42 units.
I hope this helps!
