Answer:
Perimeter of figure is 31.85 inches
Step-by-step explanation:
We have a rectangle and semi-circle in the figure.
First we will find perimeter of rectangle and semicircle and add them to find perimeter of rectangle.
First find perimeter of rectangle
The formula used is: [tex]Perimeter\: of\: rectangle=2(length+width)[/tex]
We have width = 7 in
length = 5 in
The perimeter is:
[tex]Perimeter\: of\: rectangle=2(length+width)\\Perimeter\: of\: rectangle=2(5+7)\\Perimeter\: of\: rectangle=2(12)\\Perimeter\: of\: rectangle=24\:in[/tex]
The perimeter of rectangle = 24 in
Now, finding perimeter of semi-circle
The formula used is: [tex]Perimeter\: of\: semi-circle=\frac{\pi d}{2}[/tex]
Wee have diameter d = 5 in
So, perimeter is:
[tex]Perimeter\: of\: semi-circle=\frac{\pi d}{2}\\Perimeter\: of\: semi-circle=\frac{3.14\times 5}{2}\\Perimeter\: of\: semi-circle=7.85\:in[/tex]
So, Perimeter of semi-circle= 7.85 in
Now, finding Perimeter of figure
Perimeter of figure = Perimeter of Rectangle + Perimeter of semi-circle
Perimeter of figure = 24 + 7.85
Perimeter of figure = 31.85 inches
So, Perimeter of figure is 31.85 inches
