Polygons and Perimeter

Name:

Date:

📐 Part 1: Polygon Recognition & Basic Perimeter

1. Match each polygon to its correct name:

A shape with 3 sides is called a pentagon

A shape with 4 equal sides is called a square

A shape with 5 sides is called a triangle

A shape with 4 sides (not all equal) is called a rectangle

2. Calculate the perimeter of a square with each side measuring 7 cm.

Perimeter = _______ + _______ + _______ + _______ = _______ cm

3. Find the perimeter of a triangle with sides: 5 cm, 8 cm, and 6 cm.

4. A rectangle has a length of 12 cm and width of 8 cm. What is its perimeter?

Show your working: _________________________________________________

Answer: _______ cm

🏠 Part 2: Composite Shapes & Real-Life Applications

5. Sarah wants to put a fence around her L-shaped garden. The measurements are shown below:

Top edge: 8 m, Right edge: 3 m, Inner edge (down): 2 m, Inner edge (left): 4 m, Bottom edge: 4 m, Left edge: 5 m

How much fencing does she need? _______ metres

6. A playground has a composite shape made from a rectangle (10 m × 6 m) with a square (4 m × 4 m) attached to one side. Draw and calculate the total perimeter.

Total perimeter = _______ metres

7. Which of these situations would require calculating perimeter? (Tick all that apply)

Buying carpet for a room

Installing skirting boards around a room

Putting a frame around a picture

Filling a swimming pool with water

📊 Part 3: Using Algebra (x) in Perimeter

8. A rectangle has width x cm and length (x + 4) cm. Write an expression for its perimeter.

Perimeter = _______ + _______ + _______ + _______ = _______________ cm

9. If x = 6 cm in the rectangle above, what is the actual perimeter?

Substitute x = 6: Perimeter = _______ cm

10. Extension Challenge: A pentagon has three sides of length x cm and two sides of length (2x - 1) cm. If the total perimeter is 29 cm, find the value of x.

Write the equation: _________________________________

x = _______ cm

11. Real-Life Problem: A farmer wants to fence a rectangular field. The length is twice the width. If the width is x metres, write an expression for the total amount of fencing needed.

12. Create Your Own: Draw a simple polygon and label at least one side with an algebraic expression using x. Write the perimeter expression below your drawing.

My perimeter expression: _________________________________

Success Criteria Check:

I can name polygons and describe their sides

I can calculate perimeters using consistent units

I can find perimeters of composite shapes

I can use x to represent unknown lengths

I understand why perimeter is useful in real life

Polygons and Perimeter

Polygons and Perimeter

📐 Part 1: Polygon Recognition & Basic Perimeter

🏠 Part 2: Composite Shapes & Real-Life Applications

📊 Part 3: Using Algebra (x) in Perimeter

About This Worksheet

Free in Kuraplan

Print-Ready

AI-Generated

For Teachers & Parents

Need a custom version of this worksheet?

More Mathematics Worksheets

Year 9 Financial Mathematics

Year 9 Financial Mathematics

Mathematics and Statistics Practice

Explore more free resources