Determine the perimeter of the shape below

Answer:
43.566 ft
Step-by-step explanation:
Straight sides: 2 long 1 short
2 x 10 + 8 = 28 ft
Curved side: Remember that the circumference of a circle is 2πr or πd.
Since this is a semicircle, divide the circumference you get by 2.
From the diagram: d = 8
total circumference = 8 x π = 8π
semicircle = 8π ÷ 2 = 4π ft
Total perimeter
= (28 + 4π) ft
= (28 + 12.566) ft (5sf)
= 43.566 ft (5sf)
The radius of the hemicircle is r = 8/2 cm = 4 cm.
So the perimeter of the hemicircle part is
[tex]\pi \times r \: = (22 \div 7) \times 4 = 12.57 \: cm[/tex]
The perimeter of the rectangular part = 10+10+8 = 28 cm.
So, the final answer is
[tex]28 \: cm + 12.57 \: cm = 40.57 \: cm[/tex]