Infinitely many ways
Four parts of equal area
Take any division of a square into four equal parts.
📚 Chapter Learning Kit
Area · Class 8 Mathematics · Ganita Prakash
English 3 topics 105 leveled MCQs 51 flashcards 5 games Free
Shared by a Veda teacher · Generated with Veda AI · Oct 2026
⚡ Veda Bites
💡 Key Idea
✏️ Example
💡 Key Idea
💡 Key Idea
✏️ Example
💡 Key Idea
The whole idea, one bite at a time
Veda Bites are swipeable micro-lessons — each one teaches exactly one idea. Here's a taste from this kit; the app has the full deck.
Which design needs more powder
A rangoli question
Powder fills a region evenly, so this is a question about area.
Twenty-eight against 24
Counting unit squares
Pack unit squares of side 1 cm into each without overlapping.
One diagonal is enough
Any quadrilateral
Joining a diagonal cuts a quadrilateral into two triangles.
Sixty-six square centimetres
A worked case
A diagonal of 22 cm with perpendiculars of 3 cm from the other two corners.
Triangles all the way down
And any polygon at all
A pentagon falls into three triangles on two diagonals from one corner.
📖 Smart notes
What you'll study, topic by topic
1
Area, triangles, and why perimeter is not area
Area counts the unit squares a region holds. Perimeter measures the boundary instead, and the two can move quite independently of one another.
- Area counts the unit squares a region holds.
- A rectangle holds length times width of them.
- A 7 by 4 rectangle holds 28 and an 8 by 3 holds 24.
~35 min · full explanation, examples & memory tricks in the app
2
Dissection, the parallelogram and the rhombus
Cut a figure up and rearrange the pieces and the area is untouched. That single idea turns a parallelogram into a rectangle, and a rhombus into one as well.
- Any polygon can be cut into triangles by its diagonals.
- So the triangle formula alone settles every polygon.
- A quadrilateral splits into two triangles on one diagonal.
~35 min · full explanation, examples & memory tricks in the app
3
The trapezium, and area in real units
A trapezium breaks into a rectangle and two triangles, which gives half the height times the sum of the parallel sides. Real areas then need real units, and squaring a conversion is not the same as using it.
- Dropping two perpendiculars splits a trapezium into three pieces.
- The middle piece is a rectangle and the outer two are triangles.
- Adding them gives half h times the quantity x plus y plus 2a.
~35 min · full explanation, examples & memory tricks in the app
❓ Leveled MCQ practice
Try the smart MCQs from this kit
105 questions laddered from warm-up to topper-level, each with an explanation. A taste:
The area of a region is properly understood as the number of
Beginner
A centimetres along the boundary of the region
B straight sides the region happens to have
C unit squares whose total matches the region
D corners that the region happens to have
Show answer & explanation
unit squares whose total matches the region
Whole or fractional unit squares.
Because unit squares pack into a rectangle in neat rows and columns, the area of a rectangle always comes to its
Beginner
A length plus its width
B length times its width
C length minus its width
D length divided by its width
Show answer & explanation
length times its width
Seven rows of 4 gives 28 of them.
Two rangoli rectangles are to be coloured evenly, one measuring 7 cm by 4 cm and the other 8 cm by 3 cm, so the number of unit squares in the first is
Beginner
A 28
B 24
C 22
D 11
Show answer & explanation
28
Seven times 4.
The second of those rectangles, measuring 8 cm by 3 cm, holds a number of unit squares equal to
Beginner
A 28
B 22
C 11
D 24
Show answer & explanation
24
Eight times 3.
🃏 Flashcards
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51 flashcards in this kit — the app reviews them with spaced repetition so the right card returns on the right day.
🎮 Learning games
Play your way through this kit
Every game is built from this kit's own content — scores feed your mastery, so playing counts as studying.
Memory Match
Word Match
Categorization
Fact Or Myth
Sequence Builder
Playable in the app
Study it properly — free, in the app
The full Veda Bites deck, complete notes, spaced-repetition flashcards, leveled MCQs, tests and games for this kit — plus Daily Facts and the Arena, every day.