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 40 sq cm and a length of 10 cm. What is its perimeter (in cm)?
- 2.The perimeter of a square is 84 cm. What is its area (in sq cm)?
- 3.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 4.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
- 5.A park is 57 m long and 15 m wide. Fencing costs ₹10 per metre. What does it cost to fence the park all round (in ₹)?
- 6.A garden is 18 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)?
- 7.A rectangular field is 11 m long and 10 m wide. What is its area (in sq m)?
- 8.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
- 9.The perimeter of a square is 108 cm. What is its area (in sq cm)?
- 10.The perimeter of a square is 104 cm. What is its area (in sq cm)?
- 11.A park is 10 m long and 6 m wide. Fencing costs ₹27 per metre. What does it cost to fence the park all round (in ₹)?
- 12.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
- 13.A garden is 39 m long and 7 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 14.The perimeter of a square is 76 cm. What is its area (in sq cm)?
- 15.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its perimeter (in cm)?
- 16.A garden is 33 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)?
- 17.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)?
- 18.The perimeter of a square is 44 cm. What is its area (in sq cm)?
- 19.A rectangular field is 23 m long and 6 m wide. What is its area (in sq m)?
- 20.The perimeter of a square is 52 cm. What is its area (in sq cm)?
- 21.A park is 12 m long and 7 m wide. Fencing costs ₹16 per metre. What does it cost to fence the park all round (in ₹)?
- 22.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 23.The perimeter of a square is 36 cm. What is its area (in sq cm)?
- 24.A park is 44 m long and 5 m wide. Fencing costs ₹23 per metre. What does it cost to fence the park all round (in ₹)?
- 25.A garden is 15 m long and 5 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 26.A rectangular field is 6 m long and 3 m wide. What is its area (in sq m)?
- 27.A park is 21 m long and 17 m wide. Fencing costs ₹12 per metre. What does it cost to fence the park all round (in ₹)?
- 28.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its perimeter (in cm)?
- 29.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 30.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its perimeter (in cm)?
- 31.A garden is 39 m long and 33 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 32.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its perimeter (in cm)?
- 33.A rectangular field is 6 m long and 5 m wide. What is its area (in sq m)?
- 34.A rectangular field is 5 m long and 4 m wide. What is its area (in sq m)?
- 35.A triangle has a base of 22 cm and a height of 8 cm. What is its area (in sq cm)?
- 36.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its perimeter (in cm)?
- 37.A rectangle has an area of 418 sq cm and a length of 38 cm. What is its perimeter (in cm)?
- 38.A park is 21 m long and 20 m wide. Fencing costs ₹34 per metre. What does it cost to fence the park all round (in ₹)?
- 39.A rectangular field is 32 m long and 20 m wide. What is its area (in sq m)?
- 40.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
Answer key
- 28
- 441
- 2464
- 220
- 1440
- 136
- 110
- 220
- 729
- 676
- 864
- 176
- 96
- 361
- 30
- 114
- 200
- 121
- 138
- 169
- 608
- 154
- 81
- 2254
- 96
- 18
- 912
- 32
- 616
- 56
- 304
- 58
- 30
- 20
- 88
- 18
- 98
- 2788
- 640
- 264
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