📐 Perimeter Concepts
Master perimeter basics, formulas, calculations, and real-world applications
Perimeter Basics
Understanding what perimeter is and how to measure it
Shape Formulas
Learn perimeter formulas for different geometric shapes
Perimeter Calculator
Interactive tool to calculate perimeters of various shapes
Word Problems
Solve real-world perimeter problems step by step
Mastery Quiz
Test your perimeter knowledge with 15 questions
📚 Perimeter Basics
What is Perimeter?
🎯 Understanding Perimeter
Perimeter is the distance around the outside of a shape. Think of it as the length of the boundary or edge of a figure.
Key Concept: Perimeter measures the total length of all sides added together
Real-World Examples
🏠 Around Your Home
• Fencing a yard: How much fence do you need?
• Picture frames: How much trim is needed?
• Garden borders: How much edging to buy?
• Room molding: How much baseboard trim?
🏃♂️ Sports & Activities
• Running track: Distance around the track
• Soccer field: Distance around the field
• Swimming pool: Distance around the pool
• Basketball court: Distance around the court
🎨 Arts & Crafts
• Ribbon borders: How much ribbon needed?
• Fabric edges: How much trim to sew?
• Poster borders: How much border tape?
• Cake decorating: How much icing for edges?
🏗️ Construction & Design
• Building foundations: How much concrete?
• Sidewalk borders: How much edging?
• Tile borders: How many border tiles?
• Deck railings: How much railing material?
How to Find Perimeter
📏 The Basic Method
For any shape, perimeter is found by adding up the lengths of all sides.
Units of Measurement
📏 Common Units
Metric System:
• Millimeters (mm) - very small objects
• Centimeters (cm) - small objects
• Meters (m) - rooms, yards
• Kilometers (km) - large areas
📐 Imperial System
US Customary:
• Inches (in) - small objects
• Feet (ft) - rooms, height
• Yards (yd) - sports fields
• Miles (mi) - long distances
Perimeter vs. Other Measurements
🔍 Don't Confuse These!
Example: How much fence for a garden?
Example: How much grass seed for a lawn?
Example: How much water fits in a pool?
💡 Memory Tip
Think "PERimeter = PERimeter of a fence" - it goes around the outside!
Interactive Practice
🔷 Shape Formulas
Common Shape Formulas
🟩 Rectangle
🟨 Square
🔺 Triangle
⭕ Circle
Special Triangles
🔺 Equilateral Triangle
All three sides are equal, so multiply by 3.
🔺 Isosceles Triangle
Two sides are equal (a), plus the base (b).
Irregular Shapes
🔷 Any Polygon
For any shape with straight sides, just add up all the side lengths:
💡 Strategy
Label each side length, then add them all up. Don't miss any sides!
Interactive Formula Practice
🧮 Perimeter Calculator
Interactive Perimeter Calculator
🎯 Choose a Shape to Calculate
Select a shape below and enter its dimensions to calculate the perimeter automatically.
Quick Reference
📐 Common Formulas
Rectangle: P = 2l + 2w
Square: P = 4s
Triangle: P = a + b + c
Circle: P = 2πr
💡 Calculator Tips
• Enter dimensions as you measure them
• Results update automatically
• Use decimal points for precise measurements
• Check your units match the problem
📝 Word Problems
Solving Perimeter Word Problems
🎯 Problem-Solving Strategy
Follow these steps to solve any perimeter word problem:
Example Problems
🏠 Example 1: Fencing a Yard
Problem: Sarah wants to put a fence around her rectangular backyard. The yard is 25 feet long and 18 feet wide. How much fencing does she need?
🖼️ Example 2: Picture Frame
Problem: A square picture frame has sides that are 8 inches long. How much decorative trim is needed to go around the frame?
🏃♂️ Example 3: Running Track
Problem: A circular running track has a radius of 50 meters. How far does someone run if they complete one lap around the track?
Common Word Problem Types
🏗️ Construction & Building
• Fencing yards or gardens
• Trim around rooms or windows
• Sidewalk or pathway borders
• Foundation measurements
🎨 Arts & Crafts
• Picture frame materials
• Ribbon or lace borders
• Fabric edging
• Decorative trim
🏃♂️ Sports & Recreation
• Track and field distances
• Pool or court boundaries
• Game field perimeters
• Walking/jogging paths
🌱 Gardening & Landscaping
• Garden bed borders
• Flower bed edging
• Lawn boundaries
• Planting area perimeters
Interactive Practice
🏆 Perimeter Mastery Quiz
Test Your Perimeter Knowledge
Ready to test your understanding of perimeter concepts? This comprehensive quiz covers all the topics we've learned:
• 15 multiple choice questions
• Covers: Basic concepts, formulas, calculations, and word problems
• Immediate feedback after each question
• Final score and performance breakdown
Question 1 of 15
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