Answer:
37.55 m
Step-by-step explanation:
To find the perimeter, we have to add the lengths of each part of the figure.
We start from the circle on top. We see that its diameter is 10 m, therefore its radius is
r = 5 m
(because the radius is half the diameter). The perimeter of a circle is given by
[tex]p=2 \pi r[/tex]
However, here we have half a circle, so its perimeter is
[tex]p_1 = \pi r=(3.14)(5)=15.7 m[/tex]
Then continuing in a clockwise direction, we have to add the length of the side of 2 m:
[tex]p_2 = 2 m[/tex]
Then we have two sides of a square of side 5 m, so:
[tex]p_3 = 5 m + 5 m= 10 m[/tex]
Then we have a quarter of a circle of radius r = 5 m, so its perimeter is:
[tex]p_4 = \frac{\pi r}{2}=\frac{\pi (5)}{2}=7.85 m[/tex]
Finally, we have one more side of length 2 m:
[tex]p_5 = 2m[/tex]
Therefore, the total perimeter is:
[tex]p=p_1+p_2+p_3+p_4+p_5=15.7+2+10+7.85+2=37.55 m[/tex]
