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 rectangular field is 8 m long and 3 m wide. What is its area (in sq m)?
- 2.A garden is 39 m long and 34 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 3.A rectangle has an area of 272 sq cm and a length of 34 cm. What is its perimeter (in cm)?
- 4.The perimeter of a square is 16 cm. What is its area (in sq cm)?
- 5.A triangle has a base of 4 cm and a height of 25 cm. What is its area (in sq cm)?
- 6.A rectangular field is 9 m long and 5 m wide. What is its area (in sq m)?
- 7.The perimeter of a square is 84 cm. What is its area (in sq cm)?
- 8.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its perimeter (in cm)?
- 9.The perimeter of a square is 64 cm. What is its area (in sq cm)?
- 10.A park is 15 m long and 9 m wide. Fencing costs ₹31 per metre. What does it cost to fence the park all round (in ₹)?
- 11.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
- 12.A park is 30 m long and 20 m wide. Fencing costs ₹28 per metre. What does it cost to fence the park all round (in ₹)?
- 13.A triangle has a base of 24 cm and a height of 17 cm. What is its area (in sq cm)?
- 14.A rectangular field is 29 m long and 26 m wide. What is its area (in sq m)?
- 15.A garden is 29 m long and 27 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 18 cm and a height of 15 cm. What is its area (in sq cm)?
- 17.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 18.A rectangular field is 36 m long and 20 m wide. What is its area (in sq m)?
- 19.A park is 11 m long and 7 m wide. Fencing costs ₹29 per metre. What does it cost to fence the park all round (in ₹)?
- 20.A rectangular field is 40 m long and 39 m wide. What is its area (in sq m)?
- 21.A rectangle has an area of 385 sq cm and a length of 35 cm. What is its perimeter (in cm)?
- 22.A park is 19 m long and 7 m wide. Fencing costs ₹13 per metre. What does it cost to fence the park all round (in ₹)?
- 23.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 24.The perimeter of a square is 60 cm. What is its area (in sq cm)?
- 25.The perimeter of a square is 100 cm. What is its area (in sq cm)?
- 26.A rectangular field is 9 m long and 3 m wide. What is its area (in sq m)?
- 27.A rectangle has an area of 792 sq cm and a length of 33 cm. What is its perimeter (in cm)?
- 28.A triangle has a base of 28 cm and a height of 13 cm. What is its area (in sq cm)?
- 29.A garden is 30 m long and 9 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 30.A rectangular field is 21 m long and 11 m wide. What is its area (in sq m)?
- 31.A triangle has a base of 12 cm and a height of 7 cm. What is its area (in sq cm)?
- 32.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 33.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 34.A park is 27 m long and 22 m wide. Fencing costs ₹30 per metre. What does it cost to fence the park all round (in ₹)?
- 35.A garden is 38 m long and 11 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 36.A rectangular field is 38 m long and 14 m wide. What is its area (in sq m)?
- 37.A rectangular field is 12 m long and 7 m wide. What is its area (in sq m)?
- 38.A garden is 26 m long and 16 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 39.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 40.A rectangle has an area of 455 sq cm and a length of 35 cm. What is its perimeter (in cm)?
Answer key
- 24
- 308
- 84
- 16
- 50
- 45
- 441
- 46
- 256
- 1488
- 264
- 2800
- 204
- 754
- 116
- 135
- 132
- 720
- 1044
- 1560
- 92
- 676
- 264
- 225
- 625
- 27
- 114
- 182
- 172
- 231
- 42
- 44
- 2464
- 2940
- 330
- 532
- 84
- 88
- 1386
- 96
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