Finding Perimeter of Polygons Worksheets PDF | 4th Grade Math

Downloadable PDF worksheets for finding perimeter of polygons in 4th grade math. Complete with exercises, solutions, and visual learning aids.

Finding Perimeter: Exercises 1 to 3
1 Rectangle Problem
Exercise 1
Find the perimeter of a rectangle with a length of 8 cm and a width of 5 cm.
Definition:

Polygon: A closed shape made up of straight line segments

Perimeter: The total distance around the outside of a shape

Method:
  1. Identify the dimensions of the rectangle
  2. Apply the rectangle perimeter formula: P = 2(length + width)
  3. Calculate and state the result
Step 1: Identify dimensions

Length = 8 cm, Width = 5 cm

Step 2: Apply perimeter formula

Perimeter = 2(length + width) = 2(8 + 5) = 2(13) = 26 cm

Step 3: State the result

The perimeter of the rectangle is 26 cm

Perimeter: 26 cm
Final answer:

The perimeter of the rectangle is 26 cm.

Applied rules:

• Perimeter of rectangle: P = 2(l + w)

• Rectangle properties: Opposite sides are equal

• Units: Linear units (cm, m, ft, etc.)

2 Square Problem
Exercise 2
Calculate the perimeter of a square with sides measuring 7 inches.
Definition:

Square: A 4-sided polygon with all sides equal

Perimeter of square: P = 4 × side length

Step 1: Identify side length

Side = 7 inches

Step 2: Apply square perimeter formula

Perimeter = 4 × side = 4 × 7 = 28 inches

Step 3: State the result

The perimeter of the square is 28 inches

Perimeter: 28 in
Final answer:

The perimeter of the square is 28 inches.

Applied rules:

• Perimeter of square: P = 4s

• Square properties: All sides are equal

• Units: Linear units (in, cm, ft, etc.)

3 Triangle Problem
Exercise 3
Find the perimeter of a triangle with sides measuring 6 cm, 8 cm, and 10 cm.
Definition:

Triangle: A 3-sided polygon

Perimeter of polygon: Sum of all side lengths

Step 1: Identify all sides

Side 1 = 6 cm, Side 2 = 8 cm, Side 3 = 10 cm

Step 2: Add all side lengths

Perimeter = 6 + 8 + 10 = 24 cm

Step 3: State the result

The perimeter of the triangle is 24 cm

Perimeter: 24 cm
Final answer:

The perimeter of the triangle is 24 cm.

Applied rules:

• Perimeter of polygon: Sum of all side lengths

• Triangle: 3-sided polygon

• Units: Linear units (cm, m, ft, etc.)

Finding Perimeter: Exercises 4 to 5
4 Pentagon Problem
Exercise 4
Calculate the perimeter of a pentagon with sides measuring 5 cm, 6 cm, 7 cm, 8 cm, and 9 cm.
Definition:

Pentagon: A 5-sided polygon

Perimeter of polygon: Sum of all side lengths

Step 1: Identify all sides

Side 1 = 5 cm, Side 2 = 6 cm, Side 3 = 7 cm, Side 4 = 8 cm, Side 5 = 9 cm

Step 2: Add all side lengths

Perimeter = 5 + 6 + 7 + 8 + 9 = 35 cm

Step 3: State the result

The perimeter of the pentagon is 35 cm

Perimeter: 35 cm
Final answer:

The perimeter of the pentagon is 35 cm.

Applied rules:

• Perimeter of polygon: Sum of all side lengths

• Pentagon: 5-sided polygon

• Units: Linear units (cm, m, ft, etc.)

5 Hexagon Problem
Exercise 5
Find the perimeter of a hexagon with sides measuring 4 inches, 5 inches, 6 inches, 5 inches, 4 inches, and 7 inches.
Definition:

Hexagon: A 6-sided polygon

Perimeter of polygon: Sum of all side lengths

Step 1: Identify all sides

Side 1 = 4 in, Side 2 = 5 in, Side 3 = 6 in, Side 4 = 5 in, Side 5 = 4 in, Side 6 = 7 in

Step 2: Add all side lengths

Perimeter = 4 + 5 + 6 + 5 + 4 + 7 = 31 inches

Step 3: State the result

The perimeter of the hexagon is 31 inches

Perimeter: 31 in
Final answer:

The perimeter of the hexagon is 31 inches.

Applied rules:

• Perimeter of polygon: Sum of all side lengths

• Hexagon: 6-sided polygon

• Units: Linear units (in, cm, ft, etc.)

Perimeter of Polygons Worksheets PDF
Perimeter = Sum of all sides
General Formula
Download Perimeter Worksheets PDF
Complete collection of perimeter of polygons worksheets with exercises, solutions, and visual examples.
Download PDF
Triangle
A 3-sided polygon. Perimeter = Side₁ + Side₂ + Side₃.
Rectangle
A 4-sided polygon with opposite sides equal. Perimeter = 2(length + width).
Square
A 4-sided polygon with all sides equal. Perimeter = 4 × side.
Pentagon
A 5-sided polygon. Perimeter = Sum of all 5 sides.
Hexagon
A 6-sided polygon. Perimeter = Sum of all 6 sides.
▲
Triangle
P = a + b + c
3 sides
▭
Rectangle
P = 2(l+w)
4 sides
■
Square
P = 4s
4 equal sides
1
Count Sides
2
Measure All
3
Add All
Complete Lessons
Step-by-step lessons with clear explanations and examples.
Practice Exercises
Multiple exercises with varying difficulty levels.
Detailed Solutions
Full solutions with step-by-step explanations.
Visual Aids
Diagrams and visual examples to enhance understanding.
Finding Perimeter: Methods and Rules
P = s₁ + s₂ + s₃ + ... + sₙ
Perimeter Formula
Key definitions:

Polygon: A closed shape made up of straight line segments

Perimeter: The total distance around the outside of a shape

Regular polygon: A polygon with all sides and angles equal

Perimeter calculation methodology:
  1. Identify the polygon: Count the number of sides
  2. Measure all sides: Find the length of each side
  3. Add all side lengths: Sum them together
  4. State the answer: Include correct units
Tip 1: Always check that you counted all sides.
Tip 2: Write down each side length as you measure it.
Tip 3: Always include units in your final answer.
Tip 4: For regular polygons, multiply one side by the number of sides.
Common errors: Missing a side, using wrong units, arithmetic mistakes.
Success strategies: Draw a diagram, label sides, double-check addition.
Formulas to know:

• Perimeter of any polygon: Sum of all side lengths

• Rectangle: P = 2(length + width)

• Square: P = 4 × side

• Regular polygon: P = number of sides × one side length

• Always include correct units in answers

Finding Perimeter of Polygons: Complete Learning Summary
Key Concepts & Definitions

Polygon: A closed shape made up of straight line segments (sides).

Perimeter: The total distance around the outside of a shape, measured in linear units.

Regular Polygon: A polygon with all sides and angles equal.

Irregular Polygon: A polygon with sides and/or angles of different measures.

Core Rules & Principles

Universal Rule: Perimeter = Sum of all side lengths.

Unit Consistency: Perimeter is always measured in linear units.

Counting Sides: Ensure you include every side in your calculation.

Measurement Accuracy: Precise measurements lead to accurate perimeters.

Step-by-Step Method

Step 1: Identify the polygon and count the number of sides.

Step 2: Measure or identify the length of each side.

Step 3: Add all the side lengths together.

Step 4: Express the answer with correct units.

Step 5: Verify your calculation for accuracy.

Concrete Examples

Triangle: Sides 6, 8, 10 cm → Perimeter = 6 + 8 + 10 = 24 cm.

Rectangle: Length 9 cm, Width 4 cm → Perimeter = 2(9 + 4) = 26 cm.

Square: Side 7 in → Perimeter = 4 × 7 = 28 in.

Pentagon: Sides 5, 6, 7, 8, 9 cm → Perimeter = 35 cm.

Tips & Common Pitfalls

Tip 1: Draw and label the polygon to keep track of sides.

Tip 2: For regular polygons, multiply one side by the number of sides.

Tip 3: Always check that you haven't missed any sides.

Common Mistake: Adding the wrong number of sides.

Common Mistake: Forgetting to include units in the answer.

Memory Aids & Takeaways

Memory Phrase: "Perimeter is the distance around the outside!"

Visual Cue: Imagine walking around the edge of the shape.

Formula Reminder: Add all sides together.

Always Remember: Perimeter uses linear units (cm, m, ft, etc.).

Success Strategy: Practice with different polygon shapes and sizes.

Questions & Answers

Question: How do I find the perimeter of a polygon if some sides are missing?

Answer: If some sides are missing, you'll need to use the properties of the polygon to find them:

  • For rectangles: opposite sides are equal
  • For squares: all sides are equal
  • For regular polygons: all sides are equal
  • For irregular polygons: you may need additional information

If you can't determine the missing side lengths, you cannot calculate the full perimeter.

Question: My child gets confused when working with different polygon names. How can I help them remember?

Answer: Here are strategies to remember polygon names:

  • Triangle: 3 sides (think "tri-" = three)
  • Quadrilateral: 4 sides ("quad-" = four)
  • Pentagon: 5 sides ("pent-" = five)
  • Hexagon: 6 sides ("hex-" = six)
  • Octagon: 8 sides ("oct-" = eight)

Practice drawing different polygons and labeling them. The more they see and use the names, the more familiar they'll become.

Question: Does the order matter when I add the sides to find perimeter?

Answer: No, the order doesn't matter when adding the sides because addition is commutative. This means that changing the order of numbers being added doesn't change the sum. For example:

Triangle with sides 6, 8, and 10: 6 + 8 + 10 = 24

Same triangle: 10 + 6 + 8 = 24

However, it's helpful to add in order to avoid missing any sides. You can group numbers that are easier to add together first (like 6 + 4 = 10).