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 round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 2.A park is 54 m long and 39 m wide. Fencing costs ₹11 per metre. What does it cost to fence the park all round (in ₹)?
- 3.A triangle has a base of 16 cm and a height of 6 cm. What is its area (in sq cm)?
- 4.A triangle has a base of 10 cm and a height of 3 cm. What is its area (in sq cm)?
- 5.A garden is 15 m long and 5 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 6.A triangle has a base of 21 cm and a height of 6 cm. What is its area (in sq cm)?
- 7.A garden is 25 m long and 22 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 8.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 9.A triangle has a base of 4 cm and a height of 5 cm. What is its area (in sq cm)?
- 10.The perimeter of a square is 84 cm. What is its area (in sq cm)?
- 11.A rectangular field is 18 m long and 10 m wide. What is its area (in sq m)?
- 12.A triangle has a base of 18 cm and a height of 21 cm. What is its area (in sq cm)?
- 13.The perimeter of a square is 88 cm. What is its area (in sq cm)?
- 14.A rectangle has an area of 620 sq cm and a length of 31 cm. What is its perimeter (in cm)?
- 15.A garden is 11 m long and 6 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 30 cm and a height of 8 cm. What is its area (in sq cm)?
- 17.A rectangular field is 34 m long and 17 m wide. What is its area (in sq m)?
- 18.A rectangular field is 12 m long and 10 m wide. What is its area (in sq m)?
- 19.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
- 20.A triangle has a base of 25 cm and a height of 20 cm. What is its area (in sq cm)?
- 21.The perimeter of a square is 76 cm. What is its area (in sq cm)?
- 22.A rectangle has an area of 351 sq cm and a length of 39 cm. What is its perimeter (in cm)?
- 23.A rectangular field is 27 m long and 4 m wide. What is its area (in sq m)?
- 24.The perimeter of a square is 116 cm. What is its area (in sq cm)?
- 25.A rectangle has an area of 390 sq cm and a length of 39 cm. What is its perimeter (in cm)?
- 26.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 27.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 28.A park is 31 m long and 28 m wide. Fencing costs ₹33 per metre. What does it cost to fence the park all round (in ₹)?
- 29.A park is 45 m long and 14 m wide. Fencing costs ₹30 per metre. What does it cost to fence the park all round (in ₹)?
- 30.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its perimeter (in cm)?
- 31.The perimeter of a square is 32 cm. What is its area (in sq cm)?
- 32.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its perimeter (in cm)?
- 33.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its perimeter (in cm)?
- 34.A garden is 29 m long and 22 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 35.A triangle has a base of 25 cm and a height of 6 cm. What is its area (in sq cm)?
- 36.A garden is 36 m long and 25 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 37.The perimeter of a square is 92 cm. What is its area (in sq cm)?
- 38.A park is 12 m long and 5 m wide. Fencing costs ₹22 per metre. What does it cost to fence the park all round (in ₹)?
- 39.A garden is 39 m long and 17 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 40.A park is 15 m long and 6 m wide. Fencing costs ₹40 per metre. What does it cost to fence the park all round (in ₹)?
Answer key
- 132
- 2046
- 48
- 15
- 44
- 63
- 98
- 88
- 10
- 441
- 180
- 189
- 484
- 102
- 38
- 120
- 578
- 120
- 220
- 250
- 361
- 96
- 108
- 841
- 98
- 44
- 2464
- 3894
- 3540
- 40
- 64
- 22
- 46
- 342
- 75
- 402
- 529
- 748
- 372
- 1680
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