Rectangle aur square ka area

Area kya hai?

Area wo jagah hai jo koi band shape gherti hai, page pe ya zameen pe. Perimeter batata hai kinaara kitna lamba hai; area batata hai andar kitni jagah hai.

Area squares gin kar naapte hain. 1 cm side wale square ka area 1 square centimetre (1 sq cm) hota hai. 1 m side wale square ka area 1 sq m.

Squares hi kyun? Squares bina gap aur bina overlap ke ek-doosre se jud jaate hain, isliye wo shape ko poori tarah dhak lete hain aur aasaani se gine ja sakte hain. Circles beech mein gap chhodte hain, aur baaki shapes ko seedhi lines mein ginna mushkil hota hai.

Rectangle ka area length × breadth kyun?

Squared paper pe 6 cm lamba aur 4 cm chauda rectangle banao. Tumhe 4 rows dikhengi, har row mein 1 sq cm ke 6 squares. Sab ginne ki jagah guna karo: 6 × 4 = 24.

Rectangle ka area = length × breadth

Aur square ka area?

Square aisa rectangle hai jiski length aur breadth barabar hain, isliye:

Square ka area = side × side

Example: 3 cm side wali square tile 3 × 3 = 9 sq cm gherti hai.

Missing side kaise nikaalein?

Area ko jaani hui side se divide karo.

• Ek rectangular garden 20 m lamba hai aur uska area 360 sq m hai. Width = 360 ÷ 20 = 18 m.
• Ek square ka area 49 sq cm hai. Kaunsa number khud se guna hokar 49 deta hai? 7 × 7 = 49, to side 7 cm hai.

Rectangles se bani shapes ka area kaise nikaalein?

Do aasaan tareeke hain.

1. Shape ko rectangles mein todo, har ek ka area nikaalo aur jod do. 5 m × 3 m aur 2 m × 2 m ke hisson se bane L-shape kamre ka area 15 + 4 = 19 sq m hai.
2. Bada rectangle lo aur gayab hissa ghatao. 6 m × 5 m (30 sq m) ke kamre mein 4 m × 3 m (12 sq m) ki carpet ho, to bina carpet ka farsh 30 − 12 = 18 sq m hai.

Ajeeb shape ka area kaise andaaza lagayein?

Shape ko aise squared paper pe trace karo jahan har square 1 sq unit ho, phir:

• har poore square ko 1 sq unit gino,
• jo square aadhe se zyada bhara ho, use 1 sq unit gino,
• jo square theek aadha bhara ho, use ½ sq unit gino,
• jo square aadhe se kam bhara ho, use chhod do.

Sab jodo. Ye andaaza hai, asli area ke kaafi kareeb.

Kya same area ka perimeter alag ho sakta hai?

Haan. 24 sq units area aur poore numbers wali sides ke rectangles ye hain:

Rectangle	Area	Perimeter
1 × 24	24 sq units	50 units
2 × 12	24 sq units	28 units
3 × 8	24 sq units	22 units
4 × 6	24 sq units	20 units

Lambe-patle rectangle ka perimeter sabse zyada hai, aur square ke sabse kareeb wale ka sabse kam. Perimeter ke baare mein rectangle aur square ka perimeter mein padho.