📐 Part 1: Finding Missing Side Lengths

1. A composite shape has a total perimeter of 32cm. The known side lengths are: 8cm, 6cm, 5cm, 7cm. Find the missing side length.

Missing side length: _______ cm

2. An L-shaped garden has these measurements: 12m, 4m, 8m, 6m, and one unknown side. The total perimeter is 45m. Calculate the missing length.

Missing side length: _______ m

3. A rectangular shape with a rectangular cut-out has a perimeter of 28cm. Known sides: 9cm, 3cm, 4cm, 2cm, 5cm. What is the missing side?

Missing side length: _______ cm

📏 Part 2: Complete Perimeter Calculations

4. Calculate the perimeter of a composite shape with these side lengths: 15cm, 8cm, 12cm, 6cm, 9cm, 4cm. Show your working and include units.

Total perimeter: _______ cm

5. A step-shaped figure has sides measuring: 7m, 3m, 4m, 5m, 11m, 8m. Find the total perimeter.

Total perimeter: _______ m

6. Write the complete perimeter expression for a shape with sides: 6cm, 9cm, 4cm, 7cm, 2cm.

Perimeter expression: _____ + _____ + _____ + _____ + _____ = _____ cm

🔢 Part 3: Number Line Practice

7. Mark the missing side length from Question 1 on this number line (0-10cm):

8. Use the number line below to show how you would subtract to find a missing side. If the total perimeter is 24cm and known sides add to 18cm, mark your subtraction:

9. Draw and label a number line from 0 to 20m. Mark the missing side length from Question 2.

✅ Part 4: Multiple Choice - Units and Understanding

10. Which of these correctly shows a perimeter calculation?

5 + 7 + 3 + 9 = 24

5cm + 7cm + 3cm + 9cm = 24cm

5m + 7cm + 3mm + 9km = 24

11. What does perimeter measure?

The area inside a shape

The distance around a shape

The height of a shape

12. To find a missing side length when you know the total perimeter, you should:

Add all the known sides together

Subtract the sum of known sides from the total perimeter

Multiply the known sides by 2

🏗️ Part 5: Real-World Applications

13. Sarah is building a fence around her L-shaped vegetable garden. She knows five of the six side lengths: 8m, 3m, 5m, 2m, 6m. If she needs 28m of fencing in total, how long is the missing side?

The missing side is _______ metres long.

14. A school playground has a composite shape outline. The groundskeeper measures these sides: 25m, 15m, 12m, 8m, 13m. Calculate the total distance around the playground.

Total distance: _______ m

15. Explain in your own words why it's important to include units (like cm or m) when writing perimeter answers: