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Understanding Perimeter

Elementary Depth 51 in the knowledge graph ☐ I know this ☆ Set as goal
402topics build on this
239prerequisites beneath it
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PerimeterMeasuring Length in Standard Units+1 more→→Understanding Perimeter as a Distance Around
perimeter rectangles distance-around

Core Idea

Perimeter is the distance around a shape. To find the perimeter of a rectangle, add all four side lengths. A rectangle with sides of 3 and 2 units has a perimeter of 3+2+3+2 = 10 units.

Explainer

Perimeter is simply the total distance you would walk if you traveled all the way around the outside of a shape without lifting your feet. Imagine walking around a soccer field: you'd walk one long side, one short side, the other long side, and the other short side. Add those four distances together, and you have the perimeter of the field.

A rectangle has a special property that makes perimeter easy to work with: opposite sides are equal. The two long sides are the same length, and the two short sides are the same length. So if you know the length and the width, you know all four sides. A rectangle 3 units long and 2 units wide has sides of 3, 2, 3, 2 — and the perimeter is 3 + 2 + 3 + 2 = 10 units.

You can also think about this using what you know about addition. Since the two lengths are the same and the two widths are the same, you're really adding pairs: 3 + 3 = 6 for the two long sides, and 2 + 2 = 4 for the two short sides, then 6 + 4 = 10. Either way of adding gives the same answer.

One thing to pay close attention to is the units. If the sides are measured in centimeters, the perimeter is in centimeters. If the sides are measured in feet, the perimeter is in feet. Perimeter is a length — a distance — so it always needs a unit. Writing "10" without "units" or "cm" or "feet" is an incomplete answer.

Practice Questions 5 questions

Prerequisite Chain

Understanding Zero → The Number Zero → Counting to Five → Counting to 10 → Counting to 20 → Counting a Set of Objects Up to 20 → Cardinality: The Last Number Counted → Matching Numerals to Quantities → Subitizing Small Quantities → Addition Within 10 → Making 10 as an Addition Strategy → Addition Within 20 → Doubles and Near Doubles → Doubles Facts Within 10 → Near Doubles Facts Within 20 → Mental Math Strategies for Addition → Mental Math: Adding and Subtracting Tens → Addition Within 100 → Repeated Addition as Multiplication → Multiplication as Equal Groups → Multiplication: Arrays → Basic Multiplication Facts Through 10 → Multiplication Facts Within 100 → Division as Equal Sharing → Division as Grouping (Measurement Division) → Division: Grouping (Repeated Subtraction) Model → Division: Fair Sharing Model → Division as Equal Sharing → Division as Grouping → Basic Division Facts → Division Facts Within 100 → Multiplication and Division Fact Families → Relationship Between Multiplication and Division → Division Facts as Inverse of Multiplication → Remainders and Quotients in Division → Division Word Problems → Multi-Step Word Problems → Solving Multi-Step Word Problems → Multiplication Word Problems → Division Word Problems → Introduction to Long Division → Factors and Multiples → Prime and Composite Numbers → Equivalent Fractions → Relating Fractions and Decimals → Decimal Place Value → Integers and the Number Line → Comparing and Ordering Integers → Length Comparison → Measuring Length with Non-Standard Units → Measuring Length in Standard Units → Understanding Perimeter

Longest path: 52 steps · 239 total prerequisite topics

Prerequisites (3)

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