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.The perimeter of a square is 76 cm. What is its area (in sq cm)?
- 2.A rectangular field is 8 m long and 3 m wide. What is its area (in sq m)?
- 3.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
- 4.A park is 14 m long and 5 m wide. Fencing costs ₹7 per metre. What does it cost to fence the park all round (in ₹)?
- 5.The perimeter of a square is 96 cm. What is its area (in sq cm)?
- 6.A rectangular field is 16 m long and 14 m wide. What is its area (in sq m)?
- 7.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 8.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 9.A rectangle has an area of 297 sq cm and a length of 33 cm. What is its perimeter (in cm)?
- 10.A garden is 31 m long and 21 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 11.A rectangular field is 22 m long and 11 m wide. What is its area (in sq m)?
- 12.A park is 55 m long and 11 m wide. Fencing costs ₹10 per metre. What does it cost to fence the park all round (in ₹)?
- 13.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its perimeter (in cm)?
- 14.A park is 18 m long and 17 m wide. Fencing costs ₹7 per metre. What does it cost to fence the park all round (in ₹)?
- 15.A garden is 11 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)?
- 16.A triangle has a base of 7 cm and a height of 4 cm. What is its area (in sq cm)?
- 17.A triangle has a base of 4 cm and a height of 6 cm. What is its area (in sq cm)?
- 18.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
- 19.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 20.A park is 21 m long and 9 m wide. Fencing costs ₹22 per metre. What does it cost to fence the park all round (in ₹)?
- 21.A park is 56 m long and 18 m wide. Fencing costs ₹17 per metre. What does it cost to fence the park all round (in ₹)?
- 22.A garden is 33 m long and 25 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 23.A garden is 27 m long and 19 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 24.A park is 37 m long and 17 m wide. Fencing costs ₹34 per metre. What does it cost to fence the park all round (in ₹)?
- 25.The perimeter of a square is 80 cm. What is its area (in sq cm)?
- 26.A rectangle has an area of 792 sq cm and a length of 36 cm. What is its perimeter (in cm)?
- 27.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 28.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
- 29.A garden is 22 m long and 8 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 30.A rectangular field is 14 m long and 8 m wide. What is its area (in sq m)?
- 31.A round wheel has a radius of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 32.A rectangular field is 11 m long and 3 m wide. What is its area (in sq m)?
- 33.A rectangular field is 28 m long and 27 m wide. What is its area (in sq m)?
- 34.A triangle has a base of 12 cm and a height of 23 cm. What is its area (in sq cm)?
- 35.A rectangle has an area of 285 sq cm and a length of 19 cm. What is its perimeter (in cm)?
- 36.A garden is 32 m long and 31 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 37.A park is 46 m long and 24 m wide. Fencing costs ₹32 per metre. What does it cost to fence the park all round (in ₹)?
- 38.A triangle has a base of 8 cm and a height of 24 cm. What is its area (in sq cm)?
- 39.A rectangular field is 32 m long and 27 m wide. What is its area (in sq m)?
- 40.A garden is 25 m long and 6 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
Answer key
- 361
- 24
- 44
- 266
- 576
- 224
- 264
- 1386
- 84
- 224
- 242
- 1320
- 54
- 490
- 46
- 14
- 12
- 220
- 88
- 1320
- 2516
- 248
- 96
- 3672
- 400
- 116
- 2464
- 176
- 216
- 112
- 176
- 33
- 756
- 138
- 68
- 268
- 4480
- 96
- 864
- 140
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