A mirror frame in the shape of an oval is shown below. The ends of the frame form semicircles: (5 points)

An oval is formed by a rectangle with semicircles at each end. The length of the rectangle is 60 inches. The width of the rectangle is 27 inches.
Which of the following is the perimeter of the inner edge of the frame?

(π = 3.14)

343.56 inches

289.56 inches

258.78 inches

204.78 inches

1 answer

To find the perimeter of the inner edge of the frame, we need to calculate the circumference of the two semicircles and the length of the rectangle.

1. Circumference of a semicircle = π * radius
Radius of the semicircle = 27 inches / 2 = 13.5 inches
Circumference of one semicircle = 3.14 * 13.5 = 42.39 inches
Total circumference of both semicircles = 2 * 42.39 = 84.78 inches

2. Length of the rectangle = 60 inches

Adding all the sides together:
Perimeter of the inner edge of the frame = 84.78 + 60 = 144.78 inches

Therefore, the closest option is 143 inches.