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 76 cm. What is its area (in sq cm)?
- 3.A garden is 38 m long and 18 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 4.A triangle has a base of 14 cm and a height of 13 cm. What is its area (in sq cm)?
- 5.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 6.A triangle has a base of 20 cm and a height of 20 cm. What is its area (in sq cm)?
- 7.The perimeter of a square is 48 cm. What is its area (in sq cm)?
- 8.A garden is 18 m long and 17 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 9.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its perimeter (in cm)?
- 10.A rectangular field is 29 m long and 8 m wide. What is its area (in sq m)?
- 11.A rectangular field is 31 m long and 3 m wide. What is its area (in sq m)?
- 12.A triangle has a base of 20 cm and a height of 22 cm. What is its area (in sq cm)?
- 13.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
- 14.A round wheel has a radius of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 15.A park is 39 m long and 16 m wide. Fencing costs ₹17 per metre. What does it cost to fence the park all round (in ₹)?
- 16.The perimeter of a square is 28 cm. What is its area (in sq cm)?
- 17.A rectangle has an area of 247 sq cm and a length of 19 cm. What is its perimeter (in cm)?
- 18.A park is 47 m long and 36 m wide. Fencing costs ₹34 per metre. What does it cost to fence the park all round (in ₹)?
- 19.The perimeter of a square is 52 cm. What is its area (in sq cm)?
- 20.A rectangle has an area of 1443 sq cm and a length of 39 cm. What is its perimeter (in cm)?
- 21.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 22.A park is 35 m long and 7 m wide. Fencing costs ₹34 per metre. What does it cost to fence the park all round (in ₹)?
- 23.A garden is 40 m long and 20 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 24.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
- 25.A rectangular field is 9 m long and 6 m wide. What is its area (in sq m)?
- 26.The perimeter of a square is 36 cm. What is its area (in sq cm)?
- 27.A garden is 18 m long and 11 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 28.The perimeter of a square is 100 cm. What is its area (in sq cm)?
- 29.A rectangular field is 37 m long and 17 m wide. What is its area (in sq m)?
- 30.A park is 38 m long and 32 m wide. Fencing costs ₹20 per metre. What does it cost to fence the park all round (in ₹)?
- 31.A triangle has a base of 12 cm and a height of 15 cm. What is its area (in sq cm)?
- 32.The perimeter of a square is 104 cm. What is its area (in sq cm)?
- 33.The perimeter of a square is 64 cm. What is its area (in sq cm)?
- 34.A garden is 11 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)?
- 35.A rectangle has an area of 665 sq cm and a length of 35 cm. What is its perimeter (in cm)?
- 36.The perimeter of a square is 108 cm. What is its area (in sq cm)?
- 37.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 38.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 39.A rectangle has an area of 231 sq cm and a length of 21 cm. What is its perimeter (in cm)?
- 40.A garden is 38 m long and 19 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
Answer key
- 154
- 361
- 116
- 91
- 44
- 200
- 144
- 156
- 38
- 232
- 93
- 220
- 220
- 176
- 1870
- 49
- 64
- 5644
- 169
- 152
- 88
- 2856
- 396
- 132
- 54
- 81
- 62
- 625
- 629
- 2800
- 90
- 676
- 256
- 92
- 108
- 729
- 616
- 1386
- 64
- 378
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