Area and Perimeter
This hub helps you build a clear mental model of area and perimeter using rectangles, polygons, and real-world design problems. Start with the basics on paper, then move into interactive tools that let you compare shapes, count units, and test how changing side lengths affects each measurement. By the end, you should be able to explain when two shapes have the same perimeter but different areas, or the same area but different perimeters.
Learning Path
Area and Perimeter of Rectangles
Practice the core formulas with rectangle examples and build confidence in distinguishing what changes area versus perimeter.
Open →Area & Perimeter Explorer
Experiment with different shapes and dimensions to see how area and perimeter respond as you stretch, shrink, and compare figures.
Open →Garden Area & Perimeter Lab
Apply measurement ideas in a design setting by planning spaces and checking whether your shapes fit given constraints.
Open →Area & Perimeter Reference
- Area measures the space inside a shape; perimeter measures the distance around it.
- Use square units for area and linear units for perimeter.
- Rectangles use A = l × w and P = 2l + 2w, but other shapes may need different strategies.
More Resources
Tools
Labs
Worksheets
Cheat Sheets
Infographics
Explainers
Common Questions
What is the difference between area and perimeter?
Perimeter is the total distance around the outside of a shape. Area is the amount of surface inside the shape.
Can two shapes have the same perimeter but different areas?
Yes. If the side lengths are arranged differently, two shapes can share the same perimeter while covering different amounts of space.