The perimeter of the figure is approximately 113.12 cm, rounded to the nearest tenth place.
The perimeter of the figure is the total length of all its sides.
To find the perimeter, we need to add up the lengths of the rectangle's sides and the circumferences of the two semicircles.
Rectangle:
Length: 18 cm
Width: 15 cm
Perimeter of rectangle = 2(length + width) = 2(18 cm + 15 cm) = 66 cm
Semicircles:
Diameter of each semicircle is equal to the width of the rectangle = 15 cm
Radius of each semicircle = diameter/2 = 15 cm/2 = 7.5 cm
Circumference of each semicircle = π * radius = π * 7.5 cm ≈ 23.56 cm
Total circumference of semicircles = 2 * 23.56 cm ≈ 47.12 cm
Perimeter of the figure:
Perimeter of rectangle + total circumference of semicircles
= 66 cm + 47.12 cm
≈ 113.12 cm
Therefore, the perimeter of the figure is approximately 113.12 cm, rounded to the nearest tenth place.