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Perimeter

Class 6 Maths · Chapter 6: Perimeter aur Area · NCERT Ganita Prakash section 6.1

Seekho

Kisi band shape ka perimeter uski boundary ke chaaron taraf ek baar ghoomne ki poori doori hai. Chalo is rectangle ke kinare-kinare chalte hain. Har chhote square ki side 1 cm hai.

Upar chalo: 5 cm. Phir right side neeche: 3 cm. Ab tak 5 + 3 = 8 cm.

5 + 3 = 8 cm

Neeche (5 cm) aur left side upar (3 cm), aur hum wapas start par. Length aur breadth dono do-do baar aate hain.

5 + 3 + 5 + 3 = 2 × (5 + 3) = 16 cm

Rectangle ABCD 9 cm lamba aur 6 cm chauda hai. Rectangle ki aamne-saamne ki sides barabar hoti hain (AB = CD, BC = AD), isliye rectangle ka perimeter = 2 × (lambai + chaudai).

2 × (9 + 6) = 2 × 15 = 30 cm

Aditi 20 cm side wale square greeting card ke chaaron or ribbon lagati hai. Square ki chaaron sides barabar hain, isliye jodne ki jagah guna karte hain: square ka perimeter = 4 × side.

4 × 20 cm = 80 cm of ribbon

Triangle ke liye uski teeno sides jodo. 6 cm, 8 cm aur 9 cm sides wale triangle ka perimeter 23 cm hai.

6 + 8 + 9 = 23 cm

Regular polygons ki saari sides barabar hoti hain, jaise equilateral triangle. To perimeter = sides ki ginti × ek side ki lambai.

Kabir 60 m side wale square maidan ke 4 chakkar lagata hai. Ek chakkar perimeter hai: 4 × 60 = 240 m. Chaar chakkar: 4 × 240 = 960 m.

4 × 240 m = 960 m

Ab tumhari baari! Length aur breadth badlo. Coral line perimeter hai. Kya tum mission poora kar sakte ho?

Yaad rakho

  • Polygon ka perimeter = saari sides ka jod.
  • Rectangle: 2 × (length + breadth). Square: 4 × side. Equilateral triangle: 3 × side.

Quick check

Ek rectangle 7 cm lamba aur 3 cm chauda hai. Iska perimeter kitna hai?

  1. 10 cm
  2. 20 cm
  3. 21 cm
  4. 21 sq cm
Answer

20 cm. 2 × (7 + 3) = 2 × 10 = 20 cm. (21 area hai, perimeter nahi.)

Socho

Ek square aur ek rectangle dono ka perimeter 24 cm hai. Rectangle 8 cm lamba hai. Kaun si shape zyada jagah gherti hai?

Ek answer

Square ki side 24 ÷ 4 = 6 cm, to area 36 sq cm. Rectangle 8 cm by 4 cm hai, to area 32 sq cm. Square zyada gherta hai.

Practice

Teen levels (easy, medium, hard) ke naye sawaalon se practice karo, kuch hands-on, hints aur hal ke saath. Topic poora karne ke liye pichhle 5 mein se 4 sahi karo.