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 27 m long and 5 m wide. What is its area (in sq m)?
- 2.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 3.A rectangular field is 10 m long and 4 m wide. What is its area (in sq m)?
- 4.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its perimeter (in cm)?
- 5.A garden is 29 m long and 25 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 6.A garden is 19 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 park is 51 m long and 11 m wide. Fencing costs ₹12 per metre. What does it cost to fence the park all round (in ₹)?
- 8.The perimeter of a square is 28 cm. What is its area (in sq cm)?
- 9.The perimeter of a square is 68 cm. What is its area (in sq cm)?
- 10.A rectangle has an area of 78 sq cm and a length of 13 cm. What is its perimeter (in cm)?
- 11.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
- 12.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 13.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 14.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
- 15.A rectangular field is 31 m long and 27 m wide. What is its area (in sq m)?
- 16.A park is 21 m long and 7 m wide. Fencing costs ₹14 per metre. What does it cost to fence the park all round (in ₹)?
- 17.A rectangular field is 9 m long and 3 m wide. What is its area (in sq m)?
- 18.A rectangular field is 6 m long and 3 m wide. What is its area (in sq m)?
- 19.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 20.A triangle has a base of 12 cm and a height of 5 cm. What is its area (in sq cm)?
- 21.A garden is 37 m long and 26 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 22.A triangle has a base of 10 cm and a height of 8 cm. What is its area (in sq cm)?
- 23.A triangle has a base of 27 cm and a height of 4 cm. What is its area (in sq cm)?
- 24.A park is 31 m long and 9 m wide. Fencing costs ₹15 per metre. What does it cost to fence the park all round (in ₹)?
- 25.The perimeter of a square is 44 cm. What is its area (in sq cm)?
- 26.The perimeter of a square is 52 cm. What is its area (in sq cm)?
- 27.A park is 60 m long and 26 m wide. Fencing costs ₹38 per metre. What does it cost to fence the park all round (in ₹)?
- 28.A rectangle has an area of 850 sq cm and a length of 34 cm. What is its perimeter (in cm)?
- 29.The perimeter of a square is 100 cm. What is its area (in sq cm)?
- 30.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 31.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 32.The perimeter of a square is 92 cm. What is its area (in sq cm)?
- 33.A garden is 28 m long and 7 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 34.A park is 51 m long and 46 m wide. Fencing costs ₹12 per metre. What does it cost to fence the park all round (in ₹)?
- 35.A rectangular field is 18 m long and 9 m wide. What is its area (in sq m)?
- 36.A rectangular field is 27 m long and 15 m wide. What is its area (in sq m)?
- 37.A rectangular field is 30 m long and 20 m wide. What is its area (in sq m)?
- 38.A rectangular field is 12 m long and 4 m wide. What is its area (in sq m)?
- 39.A triangle has a base of 4 cm and a height of 7 cm. What is its area (in sq cm)?
- 40.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
Answer key
- 135
- 88
- 40
- 54
- 232
- 140
- 1488
- 49
- 289
- 38
- 44
- 2464
- 1386
- 176
- 837
- 784
- 27
- 18
- 44
- 30
- 414
- 40
- 54
- 1200
- 121
- 169
- 6536
- 118
- 625
- 616
- 264
- 529
- 246
- 2328
- 162
- 405
- 600
- 48
- 14
- 132
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