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 7 cm (take π = 22/7; answer in sq cm).
- 2.The perimeter of a square is 96 cm. What is its area (in sq cm)?
- 3.A park is 17 m long and 7 m wide. Fencing costs ₹25 per metre. What does it cost to fence the park all round (in ₹)?
- 4.A rectangle has an area of 768 sq cm and a length of 32 cm. What is its perimeter (in cm)?
- 5.A rectangle has an area of 99 sq cm and a length of 33 cm. What is its perimeter (in cm)?
- 6.The perimeter of a square is 64 cm. What is its area (in sq cm)?
- 7.A garden is 11 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)?
- 8.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 9.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 10.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 11.A rectangle has an area of 396 sq cm and a length of 36 cm. What is its perimeter (in cm)?
- 12.A garden is 28 m long and 20 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 13.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its perimeter (in cm)?
- 14.A park is 51 m long and 38 m wide. Fencing costs ₹15 per metre. What does it cost to fence the park all round (in ₹)?
- 15.A park is 27 m long and 6 m wide. Fencing costs ₹38 per metre. What does it cost to fence the park all round (in ₹)?
- 16.The perimeter of a square is 36 cm. What is its area (in sq cm)?
- 17.A park is 13 m long and 11 m wide. Fencing costs ₹32 per metre. What does it cost to fence the park all round (in ₹)?
- 18.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its perimeter (in cm)?
- 19.A garden is 17 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)?
- 20.The perimeter of a square is 104 cm. What is its area (in sq cm)?
- 21.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 22.A garden is 26 m long and 15 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 23.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
- 24.A park is 28 m long and 9 m wide. Fencing costs ₹30 per metre. What does it cost to fence the park all round (in ₹)?
- 25.A rectangular field is 5 m long and 3 m wide. What is its area (in sq m)?
- 26.A rectangular field is 26 m long and 6 m wide. What is its area (in sq m)?
- 27.A rectangle has an area of 280 sq cm and a length of 40 cm. What is its perimeter (in cm)?
- 28.A garden is 30 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)?
- 29.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 30.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its perimeter (in cm)?
- 31.A triangle has a base of 6 cm and a height of 21 cm. What is its area (in sq cm)?
- 32.The perimeter of a square is 28 cm. What is its area (in sq cm)?
- 33.A park is 37 m long and 30 m wide. Fencing costs ₹22 per metre. What does it cost to fence the park all round (in ₹)?
- 34.A triangle has a base of 23 cm and a height of 8 cm. What is its area (in sq cm)?
- 35.A rectangular field is 25 m long and 21 m wide. What is its area (in sq m)?
- 36.A triangle has a base of 4 cm and a height of 10 cm. What is its area (in sq cm)?
- 37.A rectangle has an area of 208 sq cm and a length of 16 cm. What is its perimeter (in cm)?
- 38.A rectangular field is 22 m long and 4 m wide. What is its area (in sq m)?
- 39.A rectangle has an area of 180 sq cm and a length of 30 cm. What is its perimeter (in cm)?
- 40.A rectangle has an area of 858 sq cm and a length of 39 cm. What is its perimeter (in cm)?
Answer key
- 154
- 576
- 1200
- 112
- 72
- 256
- 150
- 44
- 2464
- 1386
- 94
- 208
- 22
- 2670
- 2508
- 81
- 1536
- 24
- 70
- 676
- 616
- 86
- 176
- 2220
- 15
- 156
- 94
- 264
- 132
- 52
- 63
- 49
- 2948
- 92
- 525
- 20
- 58
- 88
- 72
- 122
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