Question

This figure consists of a rectangle and a quarter circle.

Answer 1

Answer: add all the sides up 20+2+2+11+3.14

Step-by-step explanation:

Answer 2

Answer:  61.27 cm

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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

1. top horizontal = 2 cm
2. left vertical = 20 cm
3. bottom horizontal = 2 cm
4. right vertical = 9 cm
5. middle horizontal = 11 cm
6. 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.