The figure is made up of two shapes, a semicircle and a rectangle. giving away 50 points plus brainliest if correct and certified answer
what is the exact perimeter of the figure?
6π+12 mm
3π+12 mm
3π+18 mm
6π+18 mm

The answer is P = 3π + 12 mm

The perimeter (P) of the figure is the sum of the perimeter of the rectangle (P1) without the longer side (according to the image) and half of the perimeter of the circle (P2):
P = P1 + 1/2 P2

The perimeter of the rectangle with two sides a and one side b is:
P1 = 2 * a + b
a = 3 mm
b = 6 mm
P1 = 2 * 3 + 6 = 6 + 6 = 12 mm

The perimeter of the circle with radius r = b/2 is:
P2 = 2 π r
r = b/2 = 6/2 = 3 mm
P2 = 2 π * 3 = 6π mm

So, the total perimeter is:
P = P1 + 1/2 P2 = 12 mm + 1/2 * 6π mm = 12 mm + 3π mm
P = 3π + 12 mm