Lagnever AI English

Rectangle aur square ka perimeter

Short mein jawab

Perimeter (parimaap) kisi band shape ki boundary ke chaaron taraf ki doori hai. Polygon ke liye uski saari sides ki lambai jodo. Rectangle ka perimeter 2 × (length + breadth) hota hai, aur square ka perimeter 4 × side. Jawab lambai ki unit mein likho, jaise cm ya m.

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Perimeter kya hai?

Socho ek cheenti notebook ke cover ke kinaare-kinaare chal rahi hai, ek kone se shuru karke poora chakkar laga ke wapas usi kone pe aati hai. Usne jitni doori tay ki, wahi cover ka perimeter hai.

To kisi band shape ka perimeter wo doori hai jo uski boundary pe ek chakkar lagaane mein tay hoti hai. Polygon, yaani seedhi sides wali band shape, ke liye ye bas saari sides ki lambai ka jod hai.

9 cm × 5 cm rectangle jiski boundary pe ek chakkar ka arrow hai, perimeter 28 cm, aur 6 cm side ka square, perimeter 24 cm
Boundary pe ek chakkar lagao

Rectangle ka perimeter 2 × (length + breadth) kyun?

Rectangle ki do lengths aur do breadths hoti hain, kyunki aamne-saamne ki sides barabar hoti hain. Isliye:

Perimeter = length + breadth + length + breadth = 2 × (length + breadth)

Example: ek rectangle 9 cm lamba aur 5 cm chauda hai.

Perimeter = 2 × (9 cm + 5 cm) = 2 × 14 cm = 28 cm

Square ka perimeter 4 × side kyun?

Square ki chaaron sides barabar hoti hain. Ek hi side ko chaar baar jodne ki jagah use 4 se guna kar do:

Perimeter = 4 × side

Example: ek square tile ki har side 6 cm hai. Perimeter = 4 × 6 cm = 24 cm.

Triangle aur baaki polygons ka kya?

  • Koi bhi triangle: teeno sides jodo. 4 cm, 6 cm aur 7 cm sides wale triangle ka perimeter 17 cm hai.
  • Equilateral triangle (saari sides barabar): perimeter = 3 × side.
  • Regular polygon (saari sides aur saare angles barabar): perimeter = sides ki sankhya × ek side ki lambai. Square bhi 4 sides wala regular polygon hai, isiliye uska perimeter 4 × side hai.

Missing side kaise nikaalein?

Formula se ulta chalo.

  • Ek square ka perimeter 20 cm hai. Side = 20 ÷ 4 = 5 cm.
  • Ek rectangle ka perimeter 30 m aur length 9 m hai. Length + breadth = 30 ÷ 2 = 15 m, to breadth = 15 − 9 = 6 m.
  • Ek triangle ka perimeter 40 cm hai aur do sides 12 cm aur 15 cm hain. Teesri side = 40 − (12 + 15) = 13 cm.

Real life mein perimeter kahan kaam aata hai?

Jab bhi koi cheez shape ke chaaron taraf lagani ho, perimeter chahiye.

  • Fencing (baad): ek garden 40 m lamba aur 25 m chauda hai. Perimeter = 2 × (40 + 25) = 130 m. Agar baad ₹50 prati metre hai, to kul kharcha 130 × 50 = ₹6,500.
  • Lace ya border: 2 m × 1 m tablecloth ke chaaron taraf border lagaane ke liye 2 × (2 + 1) = 6 m lace chahiye.
  • Daud ke chakkar: 60 m side wale square ground ka ek chakkar 4 × 60 = 240 m hai, to 3 chakkar 720 m.

Kya alag shapes ka perimeter same ho sakta hai?

Haan. 20 cm ki ek dori lo. Isse 6 cm × 4 cm ka rectangle, 7 cm × 3 cm ka rectangle, ya 5 cm side ka square bana sakte ho. Sabka perimeter 20 cm hai, lekin andar ki jagah alag-alag hai. Wo jagah area hai, jiske baare mein rectangle aur square ka area mein padho.

Practice karo

  1. 7 cm lambe aur 3 cm chaude rectangle ka perimeter kitna hai?

    1. (a) 10 cm
    2. (b) 20 cm
    3. (c) 21 cm
    4. (d) 21 sq cm
    Jawab dekho

    Jawab: (b) 20 cm 2 × (7 + 3) = 20 cm

  2. Ek square park ki har side 8 m hai. Uska perimeter kitna hai?

    1. (a) 16 m
    2. (b) 32 m
    3. (c) 64 m
    4. (d) 64 sq m
    Jawab dekho

    Jawab: (b) 32 m

  3. 24 cm lamba taar mod kar square banaya. Har side kitni hogi?

    1. (a) 4 cm
    2. (b) 6 cm
    3. (c) 8 cm
    4. (d) 12 cm
    Jawab dekho

    Jawab: (b) 6 cm 24 ÷ 4 = 6 cm

  4. Ek rectangle ka perimeter 26 m aur length 8 m hai. Breadth nikaalo.

    Jawab dekho

    Jawab: Length + breadth = 26 ÷ 2 = 13 m, to breadth = 13 − 8 = 5 m.

  5. 9 cm side wale equilateral triangle ka perimeter nikaalo.

    Jawab dekho

    Jawab: 3 × 9 = 27 cm

Students ke sawal

Perimeter ki unit kya hoti hai?

Perimeter ek lambai hai, isliye ye lambai ki units mein naapte hain, jaise mm, cm, m ya km.

Kya perimeter aur area ek hi cheez hain?

Nahi. Perimeter shape ke kinaare ki lambai hai. Area shape ke andar ki jagah hai, jo square units mein naapte hain.

Regular polygon ka perimeter kaise nikaalte hain?

Sides ki sankhya ko ek side ki lambai se guna karo. 5 cm side wale regular hexagon ka perimeter 6 × 5 = 30 cm hai.

Kya do rectangles ka perimeter same aur shape alag ho sakti hai?

Haan. 6 cm × 4 cm aur 8 cm × 2 cm, dono rectangles ka perimeter 20 cm hai.

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