Answer:
[tex]31.7[/tex]
Step-by-step explanation:
The perimeter is the line forming the boundary of the figure.
Combining the two curved parts of the perimeter we obtain a circle with a diameter of 5 in. The perimeter (P) of a circle is calculated as follows:
[tex]P=\pi D[/tex]
where D is the diameter. Then, the perimeter of the curved part is found replacing D = 5 in, as follows:
[tex]P^{1} =\pi~ .~5\\[/tex]
[tex]P^{1} = 15.7~ in[/tex]
To find the perimeter of the whole figure we need to add the two straight segments of length 8 in, that is,
[tex]P=15.7+8+8\\P=31.7[/tex]
Hence the Answer is 31.7
