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Polygon Perimeter Calculation

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Polygon Perimeter Calculation

Polygon Perimeter Calculation

Regular polygons with rulers

📐 Part 1: Understanding Perimeter

1. What is perimeter? Circle the best answer:

The area inside a shape

The total distance around a shape

The number of sides in a shape

The height of a shape

2. Which units can we use to measure perimeter? Check all that apply:

Metres (m)

Centimetres (cm)

Kilograms (kg)

Millimetres (mm)

Degrees Celsius (°C)

📏 Part 2: Measuring and Calculating Perimeter

3. Calculate the perimeter of this regular triangle. Each side is 4 cm long.

Perimeter = _____ + _____ + _____ = _____ cm

Or using multiplication: _____ × _____ = _____ cm

4. A regular square has sides of 6 cm each. Calculate its perimeter:

Answer: ____________ cm

5. A regular pentagon (5 sides) has each side measuring 8 cm. What is its perimeter?

Answer: ____________ cm

6. A regular hexagon (6 sides) has a perimeter of 42 cm. How long is each side?

Each side = ____________ cm

🔧 Part 3: Unit Conversion and Consistency

7. Fill in the missing conversions:

1 metre = _______ centimetres

1 centimetre = _______ millimetres

1 metre = _______ millimetres

8. A regular octagon (8 sides) has sides measuring 25 mm each. Calculate the perimeter in:

Millimetres: ____________ mm

Centimetres: ____________ cm

9. Why is it important to use the same units when calculating perimeter? Explain your answer:

🎯 Part 4: Problem Solving

10. Match each polygon with its perimeter calculation:
1. Regular triangle, side = 7 cm
2. Regular square, side = 9 cm
3. Regular pentagon, side = 5 cm
4. Regular hexagon, side = 6 cm
A. 36 cm
B. 25 cm
C. 21 cm
D. 36 cm
11. Sarah wants to put a fence around her regular triangular garden. Each side is 3.5 metres long. How much fencing does she need?

Answer: ____________ metres

12. Draw a regular polygon of your choice and label each side with a measurement. Then calculate its perimeter:

My polygon is a: ____________________

Number of sides: ____________________

Length of each side: ____________________

Perimeter calculation: ____________________

Total perimeter: ____________________

🌟 Part 5: Challenge Questions

13. A regular polygon has 10 sides, each measuring 4.2 cm. What is its perimeter?

Answer: ____________ cm

14. If you walked around the perimeter of a regular square playground that measures 15 metres on each side, how far would you walk?

Answer: ____________ metres

15. Explain two different ways you could calculate the perimeter of a regular polygon:

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