📏 Part 1: Understanding Perimeter

1. What is perimeter? Write your definition in your own words:

2. Circle the correct answer. Perimeter is:

The area inside a shape

The distance around the outside of a shape

The number of corners in a shape

The height of a shape

3. Which units would you use to measure perimeter in New Zealand? Check all that apply:

Centimetres (cm)

Metres (m)

Kilograms (kg)

Millimetres (mm)

Degrees Celsius (°C)

📐 Part 2: Measuring Perimeter

4. Use your ruler to measure each side of the rectangle below, then calculate the perimeter:

Measurements:

Side 1: _______ cm

Side 2: _______ cm

Side 3: _______ cm

Side 4: _______ cm

Total Perimeter: _______ cm

5. Calculate the perimeter of these shapes:

a) Rectangle: Length = 8 cm, Width = 5 cm

Perimeter = _______ cm

b) Square: Each side = 12 cm

Perimeter = _______ cm

c) Triangle: Sides are 6 cm, 8 cm, and 10 cm

Perimeter = _______ cm

🔍 Part 3: Finding Missing Sides

6. A rectangle has a perimeter of 24 cm. Three of its sides measure 6 cm, 4 cm, and 6 cm. What is the length of the fourth side?

The fourth side is _______ cm long.

7. A square has a perimeter of 32 cm. How long is each side?

Each side is _______ cm long.

8. A triangle has a perimeter of 30 cm. Two sides are 12 cm and 8 cm. Find the third side:

The third side is _______ cm long.

🧩 Part 4: Composite Shapes

9. What is a composite shape? Explain in your own words:

10. Look at this L-shaped composite shape made from two rectangles. Calculate its perimeter:

Given measurements:

• Top rectangle: 8 cm × 3 cm

• Bottom rectangle: 5 cm × 4 cm

• The rectangles share a 3 cm edge

Step 1: List all the outside edges and their lengths:

Step 2: Add up all the outside edge lengths:

Perimeter of L-shape: _______ cm

11. Draw your own composite shape made from two rectangles. Label all the outside measurements and calculate the perimeter:

My composite shape's perimeter: _______ cm

🏡 Part 5: Real-Life Applications

12. Sarah wants to put a fence around her rectangular garden. The garden is 15 metres long and 8 metres wide. How much fencing does she need?

Sarah needs _______ metres of fencing.

13. A school playground has an unusual shape. It's made from a large rectangle (20m × 15m) with a smaller rectangle (8m × 6m) attached to one side. What is the perimeter of the entire playground?

The playground's perimeter is _______ metres.

14. Match each term with its correct definition:

1. Perimeter

2. Composite Shape

3. Centimetre

4. Rectangle

A. A shape made from two or more simple shapes

B. A metric unit for measuring length

C. The distance around the outside of a shape

D. A four-sided shape with opposite sides equal

🌟 Part 6: Challenge Questions

15. A composite shape is made from a square (side length 10 cm) with a triangle (base 10 cm, other sides 8 cm each) attached to the top. What is the perimeter of this composite shape?

The perimeter is _______ cm.

16. Explain why we don't count internal edges when calculating the perimeter of composite shapes: