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.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 2.A rectangular field is 35 m long and 29 m wide. What is its area (in sq m)?
- 3.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its perimeter (in cm)?
- 4.A rectangle has an area of 155 sq cm and a length of 31 cm. What is its perimeter (in cm)?
- 5.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 6.A garden is 21 m long and 5 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 7.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 8.The perimeter of a square is 92 cm. What is its area (in sq cm)?
- 9.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 10.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 11.The perimeter of a square is 52 cm. What is its area (in sq cm)?
- 12.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 13.A triangle has a base of 20 cm and a height of 11 cm. What is its area (in sq cm)?
- 14.A garden is 30 m long and 14 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 15.A triangle has a base of 23 cm and a height of 6 cm. What is its area (in sq cm)?
- 16.A park is 44 m long and 36 m wide. Fencing costs ₹27 per metre. What does it cost to fence the park all round (in ₹)?
- 17.A triangle has a base of 10 cm and a height of 16 cm. What is its area (in sq cm)?
- 18.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 19.The perimeter of a square is 112 cm. What is its area (in sq cm)?
- 20.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
- 21.A park is 29 m long and 5 m wide. Fencing costs ₹10 per metre. What does it cost to fence the park all round (in ₹)?
- 22.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its perimeter (in cm)?
- 23.A rectangular field is 17 m long and 13 m wide. What is its area (in sq m)?
- 24.A park is 52 m long and 51 m wide. Fencing costs ₹33 per metre. What does it cost to fence the park all round (in ₹)?
- 25.The perimeter of a square is 60 cm. What is its area (in sq cm)?
- 26.A park is 43 m long and 21 m wide. Fencing costs ₹25 per metre. What does it cost to fence the park all round (in ₹)?
- 27.The perimeter of a square is 48 cm. What is its area (in sq cm)?
- 28.The perimeter of a square is 120 cm. What is its area (in sq cm)?
- 29.A rectangular field is 37 m long and 33 m wide. What is its area (in sq m)?
- 30.The perimeter of a square is 104 cm. What is its area (in sq cm)?
- 31.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
- 32.A rectangular field is 39 m long and 19 m wide. What is its area (in sq m)?
- 33.A garden is 39 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)?
- 34.A garden is 14 m long and 8 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 35.A park is 15 m long and 12 m wide. Fencing costs ₹26 per metre. What does it cost to fence the park all round (in ₹)?
- 36.The perimeter of a square is 28 cm. What is its area (in sq cm)?
- 37.A triangle has a base of 4 cm and a height of 5 cm. What is its area (in sq cm)?
- 38.The perimeter of a square is 32 cm. What is its area (in sq cm)?
- 39.A park is 40 m long and 12 m wide. Fencing costs ₹16 per metre. What does it cost to fence the park all round (in ₹)?
- 40.A garden is 10 m long and 6 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
Answer key
- 1386
- 1015
- 46
- 72
- 154
- 192
- 616
- 529
- 88
- 264
- 169
- 88
- 110
- 92
- 69
- 4320
- 80
- 132
- 784
- 132
- 680
- 30
- 221
- 6798
- 225
- 3200
- 144
- 900
- 1221
- 676
- 44
- 741
- 120
- 48
- 1404
- 49
- 10
- 64
- 1664
- 132
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