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Answer: 61.27 cm</h3>
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Work Shown:
The bottom most horizontal portion is 2 cm long since opposite sides of a rectangle are the same length. The right-most vertical piece, toward the bottom, is 20-11 = 9 cm long.
The curved piece represents 1/4 of the distance around a full circle of radius 11. So we'll need to find the circumference of the full circle of radius 11.
C = 2*pi*r
C = 2*3.14*11
C = 69.08
Then divide by 4 to get 69.08/4 = 17.27
The curved piece is roughly 17.27 cm long.
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We have these 6 pieces that make up the full perimeter
- top horizontal = 2 cm
- left vertical = 20 cm
- bottom horizontal = 2 cm
- right vertical = 9 cm
- middle horizontal = 11 cm
- curved piece = 17.27 cm (approximate)
Adding those 6 pieces leads to: 2+20+2+9+11+17.27 = 61.27
The perimeter is 61.27 cm. This value is approximate since pi = 3.14 is approximate.