Area Examples in Math
Start with the recap, study the fully worked examples, then use the practice problems to check your understanding of Area.
This page combines explanation, solved examples, and follow-up practice so you can move from recognition to confident problem-solving in Math.
Concept Recap
The amount of two-dimensional space enclosed inside a flat shape, measured in square units. For rectangles, area equals length times width; for triangles, it is half the base times height; and for circles, \pi r^2. Area answers the question: how much surface does this shape cover?
How many unit squares would you need to tile the inside of the shape completely, with no gaps?
Read the full concept explanation →How to Use These Examples
- Read the first worked example with the solution open so the structure is clear.
- Try the practice problems before revealing each solution.
- Use the related concepts and background knowledge badges if you feel stuck.
What to Focus On
Core idea: Area is two-dimensional—measured in square units like cm² or ft², not linear units.
Common stuck point: Units are squared (\text{ft}^2, \text{m}^2) because it's 2D.
Sense of Study hint: Draw the shape on grid paper and count the unit squares inside to check your formula answer.
Worked Examples
Example 1
easySolution
- 1 Recall the area formula for a rectangle: A = l \times w.
- 2 Substitute: A = 12 \times 7 = 84 cm².
- 3 The area is 84 square centimetres.
Answer
Example 2
mediumExample 3
mediumPractice Problems
Try these problems on your own first, then open the solution to compare your method.
Example 1
mediumExample 2
mediumRelated Concepts
Background Knowledge
These ideas may be useful before you work through the harder examples.