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Mathematics

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Step-by-step solution

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To accurately solve this problem, you need a physical ruler to measure the sides of each shape on the printed page. The instructions ask you to measure in centimeters and then write your final answer in millimeters.

Since I cannot physically measure the shapes, I will demonstrate the process using example measurements. You should replace these example values with your own measurements from the printed page.

Here's how to measure and calculate the perimeter for each shape:

General Steps:

  1. Use a ruler to measure the length of each side (Ihlangoithi) of the shape in centimeters (cm).
  2. Add all the side lengths together to find the total perimeter in centimeters.
  3. Convert the total perimeter from centimeters to millimeters (mm) by multiplying by 10 (since 1 cm=10 mm1 \text{ cm} = 10 \text{ mm}).

Shape 1: Rectangle
Example Measurements:
Let's assume the rectangle has sides of 4.0 cm4.0 \text{ cm} and 2.0 cm2.0 \text{ cm}.

  1. Measure the sides.

    • Ihlangoithi 1 (Length): 4.0 cm4.0 \text{ cm}
    • Ihlangoithi 2 (Width): 2.0 cm2.0 \text{ cm}
    • Ihlangoithi 3 (Length): 4.0 cm4.0 \text{ cm}
    • Ihlangoithi 4 (Width): 2.0 cm2.0 \text{ cm}
  2. Calculate the perimeter in centimeters.

    Perimeter=4.0 cm+2.0 cm+4.0 cm+2.0 cm=12.0 cm\text{Perimeter} = 4.0 \text{ cm} + 2.0 \text{ cm} + 4.0 \text{ cm} + 2.0 \text{ cm} = 12.0 \text{ cm}
  3. Convert the perimeter to millimeters.

    Perimeter=12.0 cm×10mmcm=120 mm\text{Perimeter} = 12.0 \text{ cm} \times 10 \frac{\text{mm}}{\text{cm}} = 120 \text{ mm}

    The perimeter of Shape 1 is 120 mm\boxed{\text{120 mm}}.


    Shape 2: Triangle
    Example Measurements:
    Let's assume the triangle is equilateral with each side measuring 3.5 cm3.5 \text{ cm}.

  4. Measure the sides.

    • Ihlangoithi 1: 3.5 cm3.5 \text{ cm}
    • Ihlangoithi 2: 3.5 cm3.5 \text{ cm}
    • Ihlangoithi 3: 3.5 cm3.5 \text{ cm}
  5. Calculate the perimeter in centimeters.

    Perimeter=3.5 cm+3.5 cm+3.5 cm=10.5 cm\text{Perimeter} = 3.5 \text{ cm} + 3.5 \text{ cm} + 3.5 \text{ cm} = 10.5 \text{ cm}
  6. Convert the perimeter to millimeters.

    Perimeter=10.5 cm×10mmcm=105 mm\text{Perimeter} = 10.5 \text{ cm} \times 10 \frac{\text{mm}}{\text{cm}} = 105 \text{ mm}

    The perimeter of Shape 2 is 105 mm\boxed{\text{105 mm}}.


    Shape 3: L-shaped Polygon
    Example Measurements:
    This shape has 6 sides. Let's assume the following measurements:

  7. Measure the sides.

    • Side 1 (Top horizontal): 2.0 cm2.0 \text{ cm}
    • Side 2 (Right vertical): 4.0 cm4.0 \text{ cm}
    • Side 3 (Bottom horizontal): 4.0 cm4.0 \text{ cm}
    • Side 4 (Left vertical): 2.0 cm2.0 \text{ cm}
    • Side 5 (Inner horizontal): 2.0 cm2.0 \text{ cm}
    • Side 6 (Inner vertical): 2.0 cm2.0 \text{ cm}
  8. Calculate the perimeter in centimeters.

    Perimeter=2.0 cm+4.0 cm+4.0 cm+2.0 cm+2.0 cm+2.0 cm=16.0 cm\text{Perimeter} = 2.0 \text{ cm} + 4.0 \text{ cm} + 4.0 \text{ cm} + 2.0 \text{ cm} + 2.0 \text{ cm} + 2.0 \text{ cm} = 16.0 \text{ cm}
  9. Convert the perimeter to millimeters.

    Perimeter=16.0 cm×10mmcm=160 mm\text{Perimeter} = 16.0 \text{ cm} \times 10 \frac{\text{mm}}{\text{cm}} = 160 \text{ mm}

    The perimeter of Shape 3 is 160 mm\boxed{\text{160 mm}}.


    Shape 4: Rhombus/Square
    Example Measurements:
    Let's assume this is a rhombus with all four sides equal, each measuring 2.8 cm2.8 \text{ cm}.

  10. Measure the sides.

    • Ihlangoithi 1: 2.8 cm2.8 \text{ cm}
    • Ihlangoithi 2: 2.8 cm2.8 \text{ cm}
    • Ihlangoithi 3: 2.8 cm2.8 \text{ cm}
    • Ihlangoithi 4: 2.8 cm2.8 \text{ cm}
  11. Calculate the perimeter in centimeters.

    Perimeter=2.8 cm+2.8 cm+2.8 cm+2.8 cm=11.2 cm\text{Perimeter} = 2.8 \text{ cm} + 2.8 \text{ cm} + 2.8 \text{ cm} + 2.8 \text{ cm} = 11.2 \text{ cm}
  12. Convert the perimeter to millimeters.

    Perimeter=11.2 cm×10mmcm=112 mm\text{Perimeter} = 11.2 \text{ cm} \times 10 \frac{\text{mm}}{\text{cm}} = 112 \text{ mm}

    The perimeter of Shape 4 is 112 mm\boxed{\text{112 mm}}.


    Here is the table with the example measurements and calculated perimeters:

    ShapeIhlangoithi 1 (mm)Ihlangoithi 2 (mm)Ihlangoithi 3 (mm)Ihlangoithi 4 (mm)Ipherimitha (mm)
    140204020120
    2353535-105
    320404020160
    428282828112

    Note: For Shape 3, you would measure all 6 sides and sum them up for the perimeter. The table only has space for 4 sides, so the perimeter column reflects the sum of all sides.

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