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.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 2.A rectangular field is 6 m long and 4 m wide. What is its area (in sq m)?
- 3.A park is 53 m long and 37 m wide. Fencing costs ₹10 per metre. What does it cost to fence the park all round (in ₹)?
- 4.A park is 40 m long and 30 m wide. Fencing costs ₹8 per metre. What does it cost to fence the park all round (in ₹)?
- 5.The perimeter of a square is 88 cm. What is its area (in sq cm)?
- 6.A garden is 32 m long and 15 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 7.A park is 55 m long and 9 m wide. Fencing costs ₹32 per metre. What does it cost to fence the park all round (in ₹)?
- 8.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
- 9.A rectangle has an area of 84 sq cm and a length of 21 cm. What is its perimeter (in cm)?
- 10.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
- 11.A rectangular field is 39 m long and 9 m wide. What is its area (in sq m)?
- 12.A garden is 24 m long and 23 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 13.The perimeter of a square is 20 cm. What is its area (in sq cm)?
- 14.The perimeter of a square is 44 cm. What is its area (in sq cm)?
- 15.A park is 50 m long and 17 m wide. Fencing costs ₹29 per metre. What does it cost to fence the park all round (in ₹)?
- 16.A rectangle has an area of 1443 sq cm and a length of 39 cm. What is its perimeter (in cm)?
- 17.A rectangular field is 7 m long and 3 m wide. What is its area (in sq m)?
- 18.A rectangular field is 12 m long and 7 m wide. What is its area (in sq m)?
- 19.A rectangle has an area of 532 sq cm and a length of 28 cm. What is its perimeter (in cm)?
- 20.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 21.A rectangle has an area of 126 sq cm and a length of 21 cm. What is its perimeter (in cm)?
- 22.A park is 23 m long and 5 m wide. Fencing costs ₹34 per metre. What does it cost to fence the park all round (in ₹)?
- 23.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 24.The perimeter of a square is 80 cm. What is its area (in sq cm)?
- 25.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 26.The perimeter of a square is 36 cm. What is its area (in sq cm)?
- 27.The perimeter of a square is 16 cm. What is its area (in sq cm)?
- 28.A rectangle has an area of 210 sq cm and a length of 30 cm. What is its perimeter (in cm)?
- 29.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 30.A rectangle has an area of 175 sq cm and a length of 35 cm. What is its perimeter (in cm)?
- 31.A garden is 11 m long and 8 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 32.A park is 17 m long and 14 m wide. Fencing costs ₹17 per metre. What does it cost to fence the park all round (in ₹)?
- 33.A park is 21 m long and 6 m wide. Fencing costs ₹31 per metre. What does it cost to fence the park all round (in ₹)?
- 34.A park is 21 m long and 19 m wide. Fencing costs ₹34 per metre. What does it cost to fence the park all round (in ₹)?
- 35.A garden is 11 m long and 5 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 36.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
- 37.A park is 15 m long and 5 m wide. Fencing costs ₹8 per metre. What does it cost to fence the park all round (in ₹)?
- 38.The perimeter of a square is 76 cm. What is its area (in sq cm)?
- 39.A rectangular field is 29 m long and 21 m wide. What is its area (in sq m)?
- 40.A rectangular field is 9 m long and 4 m wide. What is its area (in sq m)?
Answer key
- 2464
- 24
- 1800
- 1120
- 484
- 318
- 4096
- 176
- 50
- 132
- 351
- 318
- 25
- 121
- 3886
- 152
- 21
- 84
- 94
- 1386
- 54
- 1904
- 616
- 400
- 44
- 81
- 16
- 74
- 264
- 80
- 92
- 1054
- 1674
- 2720
- 132
- 264
- 320
- 361
- 609
- 36
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