What perimeter is
Walk the edge.
Set off from a corner, keep to the boundary of a closed figure, and stop when you reach your starting point. The distance travelled is the perimeter. Nothing inside the figure has been measured.
📚 Chapter Learning Kit
Perimeter and Area · Class 6 Mathematics · Ganita Prakash
English 4 topics 116 leveled MCQs 60 flashcards 6 games Free
Shared by a Veda teacher · Generated with Veda AI · Oct 2026
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Straight sides just add
Sides, one by one.
If the boundary is made of straight pieces, the walk breaks into those pieces. Add every side length once and the total is the perimeter. This works for any closed figure with straight edges.
The rectangle short cut
Add a pair, then double.
In a rectangle the length appears twice and so does the breadth. One of each is half the journey. So add a length to a breadth and double the result: 2 x (length + breadth).
Rounds multiply the perimeter
One round, then many.
One round of a closed track is exactly its perimeter. To find a whole run, work out the perimeter first, then multiply by the number of rounds. Never compare runners before both totals are out.
Zoya and Imran
The small track wins.
Zoya runs 6 rounds of a 60 m by 35 m track, so 6 x 190 m, which is 1140 m. Imran runs 8 rounds of a 50 m by 25 m track, so 8 x 150 m, which is 1200 m. Imran wins by 60 m.
Why guessing fails here
Two things, not one.
The distance run depends on the size of the track and on the number of rounds. When two numbers are multiplied, looking at only one of them tells you nothing about the answer.
📖 Smart notes
What you'll study, topic by topic
1
Finding Perimeter
Perimeter is the distance right round a closed figure. Add the side lengths, or use the short cuts: twice the sum of a rectangle's two sides, and four times a square's side.
- A shape's perimeter is the total distance covered in going once round its boundary and back to the start.
- For a figure built from straight sides, the perimeter is every one of those side lengths added together.
- A rectangle carries two pairs of equal sides, so its perimeter comes to 2 x (length + breadth).
~30 min · full explanation, examples & memory tricks in the app
2
Exploring Perimeter
Comparing runs on two tracks, measuring edges that slope, finding the perimeter of any regular polygon, and watching the same two pieces of paper make different perimeters.
- One round of a track is its perimeter, so a total run is the number of rounds multiplied by that perimeter.
- A runner on a shorter track can still cover the greater distance, if she completes enough extra rounds.
- A slanted edge on a square grid is longer than a straight one, so the two must be counted separately.
~33 min · full explanation, examples & memory tricks in the app
3
Area
Area is how much surface a figure covers, counted in square units. Rectangles and squares have quick rules, curvy shapes are estimated on a grid, and a perimeter never fixes an area.
- Area tells you how much surface sits inside a shut figure, and it is counted in square units.
- The area of a rectangle is its length multiplied by its breadth, because the squares sit in neat rows.
- The area of a square is its side multiplied by itself, since the length and the breadth are the same.
~35 min · full explanation, examples & memory tricks in the app
4
Area of a Triangle
A diagonal cuts a rectangle into two matching triangles, so a triangle covers half the rectangle that encloses it. Mixed figures split into rectangles and triangles, and equal areas still allow different perimeters.
- A diagonal cuts a rectangle into two triangles that lie exactly on one another, so their areas are equal.
- Each of those triangles therefore covers half of the rectangle it came from.
- A triangle covers half of the rectangle that just encloses it, whatever the shape of the triangle.
~36 min · full explanation, examples & memory tricks in the app
❓ Leveled MCQ practice
Try the smart MCQs from this kit
116 questions laddered from warm-up to topper-level, each with an explanation. A taste:
Neelima walks once round the edge of her vegetable patch and returns to her starting corner. What has she measured?
Beginner
A The perimeter of the patch
B The surface of the soil inside the patch
C The longest side of the patch
D The number of corners the patch has
Show answer & explanation
The perimeter of the patch
A single trip right round the boundary is exactly what perimeter means.
The perimeter of a figure made of straight sides is found by ____.
Beginner
A adding all its side lengths together
B multiplying its longest side by the number of corners
C adding the two longest sides and doubling that total
D counting the unit squares that fit inside it
Show answer & explanation
adding all its side lengths together
The walk round the boundary breaks into the sides, so they are added.
A rectangle measures 9 cm by 4 cm. What is its perimeter?
Beginner
A 13 cm
B 26 cm
C 36 cm
D 22 cm
Show answer & explanation
26 cm
One length and one breadth make 13, and twice 13 is 26.
Which statement about a square is true?
Beginner
A Its perimeter is twice the sum of two of its sides
B Its perimeter is four times the length of one side
C Its perimeter is the same number as its longest side
D Its perimeter cannot be found without measuring all four
Show answer & explanation
Its perimeter is four times the length of one side
Four equal sides mean one multiplication is enough.
🃏 Flashcards
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