Answer:
The answer is 192.78 inches
Step-by-step explanation:
An oval is formed by a rectangle with semicircles at each end. We can visualize this easily.
The length of the rectangle is 54 inches.
The width of the rectangle is 27 inches.
The perimeter of rectangle is = [tex]2(L+W)[/tex]
= [tex]2(54+27)[/tex]
= 162 inches
And because there are two semicircles, we can combine them to form a circle. So, perimeter of a circle is called a circumference.
The width of the rectangle forms the diameter, so its half will be the radius.
r = [tex]\frac{27}{2}=13.5[/tex]
The circumference is given by : [tex]2\pi r[/tex]
= [tex]2\times3.14\times13.5=84.78[/tex] inches
Now as the described oval shape is a complete figure without lines inside, we will subtract the width of both sides of the rectangle from the complete perimeter.
The complete perimeter is = [tex]162+84.78=246.78[/tex] inches
The inner edge perimeter will be = [tex]246.68-2(27)[/tex] = 192.78 inches
