Area and Perimeter Worksheet
The method (Round and inside): Rectangle: area = l × b, perimeter = 2 × (l + b). Square: area = side × side, perimeter = 4 × side. Triangle: area = ½ × base × height. Circle (π = 22/7): area = π × r × r, circumference = 2 × π × r. Path outside a garden: (l + 2w) × (b + 2w) − l × b.
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- 1.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its perimeter (in cm)?
- 2.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 3.A garden is 13 m long and 9 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 4.A garden is 34 m long and 12 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 5.A park is 20 m long and 13 m wide. Fencing costs ₹25 per metre. What does it cost to fence the park all round (in ₹)?
- 6.A rectangular field is 14 m long and 3 m wide. What is its area (in sq m)?
- 7.The perimeter of a square is 52 cm. What is its area (in sq cm)?
- 8.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its perimeter (in cm)?
- 9.A rectangular field is 26 m long and 22 m wide. What is its area (in sq m)?
- 10.The perimeter of a square is 88 cm. What is its area (in sq cm)?
- 11.A rectangular field is 14 m long and 6 m wide. What is its area (in sq m)?
- 12.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its perimeter (in cm)?
- 13.A triangle has a base of 29 cm and a height of 24 cm. What is its area (in sq cm)?
- 14.A rectangular field is 34 m long and 23 m wide. What is its area (in sq m)?
- 15.A park is 20 m long and 5 m wide. Fencing costs ₹38 per metre. What does it cost to fence the park all round (in ₹)?
- 16.A rectangle has an area of 483 sq cm and a length of 23 cm. What is its perimeter (in cm)?
- 17.A triangle has a base of 4 cm and a height of 21 cm. What is its area (in sq cm)?
- 18.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 19.A rectangle has an area of 555 sq cm and a length of 37 cm. What is its perimeter (in cm)?
- 20.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its perimeter (in cm)?
- 21.A rectangle has an area of 627 sq cm and a length of 33 cm. What is its perimeter (in cm)?
- 22.A rectangle has an area of 60 sq cm and a length of 10 cm. What is its perimeter (in cm)?
- 23.A rectangle has an area of 247 sq cm and a length of 19 cm. What is its perimeter (in cm)?
- 24.A triangle has a base of 16 cm and a height of 16 cm. What is its area (in sq cm)?
- 25.A garden is 27 m long and 14 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 26.A garden is 18 m long and 16 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 27.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its perimeter (in cm)?
- 28.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
- 29.The perimeter of a square is 68 cm. What is its area (in sq cm)?
- 30.A rectangular field is 35 m long and 28 m wide. What is its area (in sq m)?
- 31.A rectangular field is 29 m long and 21 m wide. What is its area (in sq m)?
- 32.A rectangular field is 18 m long and 17 m wide. What is its area (in sq m)?
- 33.A triangle has a base of 26 cm and a height of 11 cm. What is its area (in sq cm)?
- 34.A triangle has a base of 21 cm and a height of 24 cm. What is its area (in sq cm)?
- 35.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 36.A triangle has a base of 18 cm and a height of 6 cm. What is its area (in sq cm)?
- 37.A garden is 12 m long and 10 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 38.A rectangular field is 31 m long and 9 m wide. What is its area (in sq m)?
- 39.The perimeter of a square is 12 cm. What is its area (in sq cm)?
- 40.A rectangular field is 29 m long and 3 m wide. What is its area (in sq m)?
Answer key
- 18
- 1386
- 48
- 200
- 1650
- 42
- 169
- 30
- 572
- 484
- 84
- 62
- 348
- 782
- 1900
- 88
- 42
- 2464
- 104
- 34
- 104
- 32
- 64
- 128
- 180
- 152
- 48
- 220
- 289
- 980
- 609
- 306
- 143
- 252
- 616
- 54
- 48
- 279
- 9
- 87
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