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 4 m wide. What is its area (in sq m)?
- 2.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its perimeter (in cm)?
- 3.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
- 4.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 5.A park is 39 m long and 27 m wide. Fencing costs ₹9 per metre. What does it cost to fence the park all round (in ₹)?
- 6.The perimeter of a square is 24 cm. What is its area (in sq cm)?
- 7.A triangle has a base of 6 cm and a height of 20 cm. What is its area (in sq cm)?
- 8.A rectangular field is 39 m long and 27 m wide. What is its area (in sq m)?
- 9.A triangle has a base of 24 cm and a height of 17 cm. What is its area (in sq cm)?
- 10.A rectangular field is 11 m long and 8 m wide. What is its area (in sq m)?
- 11.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its perimeter (in cm)?
- 12.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 13.The perimeter of a square is 116 cm. What is its area (in sq cm)?
- 14.The perimeter of a square is 112 cm. What is its area (in sq cm)?
- 15.The perimeter of a square is 108 cm. What is its area (in sq cm)?
- 16.A park is 12 m long and 10 m wide. Fencing costs ₹29 per metre. What does it cost to fence the park all round (in ₹)?
- 17.A park is 35 m long and 19 m wide. Fencing costs ₹11 per metre. What does it cost to fence the park all round (in ₹)?
- 18.A garden is 14 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)?
- 19.A garden is 24 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)?
- 20.A garden is 12 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)?
- 21.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 22.A garden is 18 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)?
- 23.The perimeter of a square is 120 cm. What is its area (in sq cm)?
- 24.A triangle has a base of 13 cm and a height of 8 cm. What is its area (in sq cm)?
- 25.A rectangular field is 6 m long and 5 m wide. What is its area (in sq m)?
- 26.The perimeter of a square is 20 cm. What is its area (in sq cm)?
- 27.The perimeter of a square is 40 cm. What is its area (in sq cm)?
- 28.A garden is 27 m long and 12 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 29.A rectangular field is 12 m long and 6 m wide. What is its area (in sq m)?
- 30.The perimeter of a square is 80 cm. What is its area (in sq cm)?
- 31.A rectangle has an area of 377 sq cm and a length of 29 cm. What is its perimeter (in cm)?
- 32.A triangle has a base of 12 cm and a height of 3 cm. What is its area (in sq cm)?
- 33.A park is 11 m long and 5 m wide. Fencing costs ₹17 per metre. What does it cost to fence the park all round (in ₹)?
- 34.A triangle has a base of 16 cm and a height of 25 cm. What is its area (in sq cm)?
- 35.A park is 54 m long and 5 m wide. Fencing costs ₹13 per metre. What does it cost to fence the park all round (in ₹)?
- 36.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its perimeter (in cm)?
- 37.A garden is 16 m long and 10 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 38.A round wheel has a radius of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 39.A triangle has a base of 8 cm and a height of 10 cm. What is its area (in sq cm)?
- 40.A rectangular field is 18 m long and 12 m wide. What is its area (in sq m)?
Answer key
- 32
- 32
- 44
- 616
- 1188
- 36
- 60
- 1053
- 204
- 88
- 36
- 154
- 841
- 784
- 729
- 1276
- 1188
- 104
- 228
- 88
- 264
- 108
- 900
- 52
- 30
- 25
- 100
- 82
- 72
- 400
- 84
- 18
- 544
- 200
- 1534
- 18
- 192
- 176
- 40
- 216
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