Area Class 8 Maths Worksheet with Quiz and Activities
Find areas by cutting and rearranging shapes. On WitKnowLearn you get the Area Class 8 online quiz, online activities and interactive games, a area lab, a virtual lab and a worksheet-style practice sheet for Class 8 Maths.
Area Class 8 Online Quiz
20 questions: 10 easy, 5 average and 5 thinking. Tap an answer and the next question comes up.
Area Class 8 Activities
👆 Tap a tab to switch: Learn, Games, Labs, Challenges, Virtual Lab and Practice sheet
Area: Area
A short read for Class 8 before you play. These notes cover Area: rectangles, triangles, parallelograms, rhombuses and trapeziums by dissection.
▭ Counting squares
The area of a rectangle counts the unit squares inside it. A 7 cm by 4 cm rectangle holds 28 unit squares, so its area is 28 sq cm. A diagonal cuts any rectangle into two congruent triangles, each with half the area.
▱ Cut and rearrange
Cut a triangle from one end of a parallelogram and slide it to the other end and you get a rectangle with the same area. This cutting and rearranging is called dissection, and it gives area = base × height.
⏢ Rhombus and trapezium
The diagonals of a rhombus cut it into four congruent right triangles that rearrange into a rectangle, so its area is half the product of the diagonals. A trapezium has area half the height times the sum of the parallel sides.
Area Class 8 Maths Activities
Follow every step on the Number Train. Earn up to 3 stars in every activity.
This page covers Area: rectangles, triangles, parallelograms, rhombuses and trapeziums by dissection for Class 8 maths. It covers areas of rectangles and squares, triangles, parallelograms, rhombuses and trapeziums, and finding areas by dissection.
The activities are pitched at Class 8 level. Find areas of five kinds of shapes, solve for missing lengths and raise the height of a parallelogram in the studio. Explore more Class 8 maths worksheets on WitKnowLearn after this chapter.
Key ideas and facts to know
| Shape | Measurements | Area |
|---|---|---|
| Rectangle | 7 by 4 | 28 |
| Triangle | base 10, height 6 | 30 |
| Rhombus | diagonals 12, 8 | 48 |
| Trapezium | 6, 10, height 4 | 32 |
How to use this page
- Flip the six cards and try the Area Lab in the Learn tab.
- Play the five games and the five labs to practise each idea.
- Finish the five challenges to collect up to 15 points.
- Do two virtual experiments and grow a parallelogram in the studio.
- Take the 20-question online quiz, with assertion and reason and case study questions, and fill in the practice sheet.
Worked examples
Half of 20 × 80 = 800 sq m.
Half of 9 × d = 54, so d = 12 cm.
This Area worksheet for Class 8 science gives you online activities and interactive games that make the chapter clear. Every activity has a goal, a hint and a short fact, so students learn while they enjoy.
Complete Guide: Class 8 Maths Area
This guide is for Class 8 students, parents and teachers. It covers Area: rectangles, triangles, parallelograms, rhombuses and trapeziums by dissection for Class 8 maths and shows how to use the quiz, labs and games on this page.
Introduction to Area
Area tells how much surface a shape covers, and dissection shows why every area formula works.
What is there in this chapter
- Rectangles and squares
- Triangles
- Parallelograms
- Rhombus
- Trapezium
Learning objectives
- Find areas by formula.
- Explain formulas by dissection.
- Find missing lengths from areas.
- Reason with assertions and case studies.
Learning outcomes
- I can find the area of a triangle.
- I can find areas of a parallelogram, a rhombus and a trapezium.
- I can solve for a missing length.
Area Class 8 resources on this page
| Resource | What it gives |
|---|---|
| Online quiz | 20 questions: 10 easy, 5 average and 5 thinking, with assertion and reason and case study questions and a full review |
| Flip cards | 6 picture cards with one-line rules |
| Area Lab | A hands-on lab with 3 rounds |
| Games | 5 interactive games |
| Labs | 5 activity labs |
| Virtual Lab | 2 experiments plus a studio that raises the height of a parallelogram |
| Challenges | 5 challenges, 15 points in all |
| Practice sheet | A worksheet-style sheet with 16 questions, name and date lines and a live score |
Key facts
| Idea | Rule |
|---|---|
| Triangle | half base times height |
| Parallelogram | base times height |
| Rhombus | half product of diagonals |
| Trapezium | half h times (a + b) |
| Dissection | area is unchanged |
Types of questions you may see
- Areas by formula
- Missing lengths
- Dissection
- Assertion and reason on area
Solved examples
Half of 14 × 9 = 63 sq cm.
84 ÷ 7 = 12 cm.
Common mistakes
| Mistake | Correct idea |
|---|---|
| Using the slant side as height | Use the perpendicular height |
| Forgetting the half for a triangle | Half base times height |
| Writing area in cm | Use square units |
Area in daily life
Area is used to tile floors, paint walls, plan fields, buy paper and design gardens.
Tips for parents and teachers
- Sketch the shape and mark the height.
- Check the units are square units.
- Practise one assertion and one case study each week.
Related Class 8 Maths Worksheets
- 📐Class 8 Maths Worksheet: Mensuration
- 📊Class 8 Maths Worksheet: Data Handling
- ⚖Class 8 Maths Worksheet: Comparing Quantities
- ➗Class 8 Maths Worksheet: Rational Numbers
- 🧠Class 8 Maths Notes and Mind Maps
- 📚Class 8 Maths Worksheets, page 1
- 📚Class 8 Maths Worksheets, page 2
- 📚Class 8 Maths Worksheets, page 3
Area Class 8 FAQs
What is the area of a triangle?
Half of the base times the height.
How do I find the area of a parallelogram?
Multiply the base by the perpendicular height.
What is the area of a rhombus?
Half of the product of its diagonals.
What is the area of a trapezium?
Half of the height times the sum of the parallel sides.
What can students do on this page?
Students can take a 20-question online quiz with assertion and reason and case study questions, play five games, try five online activities, finish five challenges, run the Area Lab, do two virtual experiments, raise the height of a parallelogram five times and compare the shapes and areas views,, and fill in a 16-question practice sheet with a Show answers button.
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