To get the perimeter of the figure shown, we have to add up the lenght of its sides.
Notice that we have 3 linear segments, measuring 29", 21" and 29". Adding up this segments, we get:
[tex]29in+21in+29in=79in[/tex]
Now, we have one segment remaining: a semicircle.
The radius of such semicircle is half of the lenght of the 21" sides. This is 10.5"
The perimeter of the semicircle is one half of the perimeter of a full circumference:
[tex]\frac{2\pi r}{2}\rightarrow\pi r[/tex]
Therefore, the perimeter of this semicircle is:
[tex]\pi r\rightarrow(3.14)\cdot(10.5in)\rightarrow32.97in[/tex]
Adding this up with the other 79" we've already calculated, we'll find the perimeter of the whole figure:
[tex]79in+32.97in=111.97in[/tex]
Therefore, we can conclude that:
