Perimeter Mastery Challenge

Name:

Date:

📐 Part 1: Simple Shapes

1. Calculate the perimeter of this rectangle. Show your working.

Rectangle: Length = 8cm, Width = 5cm

Perimeter = _______ cm

2. Find the perimeter of this square.

Square: Side length = 6m

Perimeter = _______ m

3. Which method is correct for finding the perimeter of a rectangle?

Length × Width

2 × Length + 2 × Width

Length + Width

4 × Length

4. Challenge: This L-shaped garden has these measurements. Find its perimeter.

Top section: 4m × 3m, Bottom section: 6m × 2m (shapes joined along one edge)

Perimeter = _______ m

🌟 Part 2: Real-Life Problems

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

Answer: _______ metres of fencing

6. Convert and calculate: A square playground has sides of 500cm each. What is the perimeter in metres?

Perimeter = _______ m

7. Tom is making a picture frame. He needs wood for all four sides. If the picture is 25cm by 15cm, how much wood does he need in total?

Answer: _______ cm of wood

8. Extension: A school playground is made of two rectangles joined together. Rectangle A is 20m × 15m. Rectangle B is 10m × 8m. If they share one complete side, what is the perimeter of the whole playground?

Perimeter = _______ m

💭 Part 3: Reasoning & Explanation

9. Explain in your own words what 'perimeter' means and how you calculate it.

10. Jake says "A square with 4cm sides has the same perimeter as a rectangle with sides 2cm and 6cm." Is he correct? Explain your answer with calculations.

11. Challenge Problem: Design your own composite shape made of two rectangles. Label all sides with measurements and calculate the perimeter. Show all working.

My shape's perimeter = _______ (units: _____)