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Calculate the perimeter of the given polygons. Polygon e has sides 3.3, 3.3, 2.1, 5.67, 3.3 cm. Polygon f has sides 3, 2.5, 3.75 cm.

Mathematics

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2 parts
e

17.67 cm\text{17.67 cm}

f

9.25 cm\text{9.25 cm}

Step-by-step solution

6 steps

Part e· 3 steps

The shape is a V-shaped polygon with five sides.

  1. Identify the lengths of all sides.

    The side lengths are 3.3 cm3.3 \text{ cm}, 3.3 cm3.3 \text{ cm}, 2.1 cm2.1 \text{ cm}, 5.67 cm5.67 \text{ cm}, and 3.3 cm3.3 \text{ cm}.

  2. Add all side lengths to find the perimeter.

    P=3.3 cm+3.3 cm+2.1 cm+5.67 cm+3.3 cmP = 3.3 \text{ cm} + 3.3 \text{ cm} + 2.1 \text{ cm} + 5.67 \text{ cm} + 3.3 \text{ cm}
  3. Calculate the perimeter.

    P=17.67 cmP = 17.67 \text{ cm}

    The perimeter of the V-shaped polygon is 17.67 cm\boxed{\text{17.67 cm}}.

Part f

9.25 cm\text{9.25 cm}

The shape is a triangle.

  1. Identify the lengths of all sides.

    The side lengths are 3 cm3 \text{ cm}, 2.5 cm2.5 \text{ cm}, and 3.75 cm3.75 \text{ cm}.

  2. Add all side lengths to find the perimeter.

    P=3 cm+2.5 cm+3.75 cmP = 3 \text{ cm} + 2.5 \text{ cm} + 3.75 \text{ cm}
  3. Calculate the perimeter.

    P=9.25 cmP = 9.25 \text{ cm}

    The perimeter of the triangle is 9.25 cm\boxed{\text{9.25 cm}}.

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