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 garden is 15 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)?
- 2.A rectangular field is 34 m long and 33 m wide. What is its area (in sq m)?
- 3.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
- 4.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 5.A garden is 13 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)?
- 6.A triangle has a base of 10 cm and a height of 6 cm. What is its area (in sq cm)?
- 7.A rectangle has an area of 512 sq cm and a length of 32 cm. What is its perimeter (in cm)?
- 8.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 9.A rectangle has an area of 69 sq cm and a length of 23 cm. What is its perimeter (in cm)?
- 10.The perimeter of a square is 28 cm. What is its area (in sq cm)?
- 11.The perimeter of a square is 88 cm. What is its area (in sq cm)?
- 12.A park is 52 m long and 17 m wide. Fencing costs ₹8 per metre. What does it cost to fence the park all round (in ₹)?
- 13.A garden is 31 m long and 16 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 14.A rectangular field is 19 m long and 3 m wide. What is its area (in sq m)?
- 15.A rectangle has an area of 200 sq cm and a length of 40 cm. What is its perimeter (in cm)?
- 16.A rectangle has an area of 405 sq cm and a length of 27 cm. What is its perimeter (in cm)?
- 17.A garden is 23 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)?
- 18.The perimeter of a square is 108 cm. What is its area (in sq cm)?
- 19.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its perimeter (in cm)?
- 20.A garden is 14 m long and 7 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 21.A rectangular field is 17 m long and 13 m wide. What is its area (in sq m)?
- 22.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 23.A garden is 36 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)?
- 24.A park is 49 m long and 28 m wide. Fencing costs ₹14 per metre. What does it cost to fence the park all round (in ₹)?
- 25.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 26.A rectangle has an area of 234 sq cm and a length of 39 cm. What is its perimeter (in cm)?
- 27.A garden is 39 m long and 14 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 28.A round wheel has a radius of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 29.A rectangular field is 20 m long and 8 m wide. What is its area (in sq m)?
- 30.A triangle has a base of 13 cm and a height of 10 cm. What is its area (in sq cm)?
- 31.A park is 59 m long and 9 m wide. Fencing costs ₹25 per metre. What does it cost to fence the park all round (in ₹)?
- 32.A triangle has a base of 18 cm and a height of 13 cm. What is its area (in sq cm)?
- 33.A rectangular field is 17 m long and 8 m wide. What is its area (in sq m)?
- 34.A triangle has a base of 16 cm and a height of 19 cm. What is its area (in sq cm)?
- 35.A garden is 22 m long and 11 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 36.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 37.A rectangle has an area of 600 sq cm and a length of 25 cm. What is its perimeter (in cm)?
- 38.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its perimeter (in cm)?
- 39.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
- 40.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its perimeter (in cm)?
Answer key
- 186
- 1122
- 132
- 2464
- 100
- 30
- 96
- 88
- 52
- 49
- 484
- 1104
- 318
- 57
- 90
- 84
- 176
- 729
- 40
- 100
- 221
- 616
- 106
- 2156
- 88
- 90
- 354
- 176
- 160
- 65
- 3400
- 117
- 136
- 152
- 234
- 154
- 98
- 20
- 220
- 22
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