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 31 m long and 22 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 2.The perimeter of a square is 28 cm. What is its area (in sq cm)?
- 3.A park is 34 m long and 16 m wide. Fencing costs ₹18 per metre. What does it cost to fence the park all round (in ₹)?
- 4.A rectangular field is 40 m long and 38 m wide. What is its area (in sq m)?
- 5.A triangle has a base of 10 cm and a height of 18 cm. What is its area (in sq cm)?
- 6.A rectangle has an area of 150 sq cm and a length of 25 cm. What is its perimeter (in cm)?
- 7.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
- 8.A rectangle has an area of 270 sq cm and a length of 18 cm. What is its perimeter (in cm)?
- 9.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
- 10.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
- 11.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its perimeter (in cm)?
- 12.A rectangular field is 10 m long and 6 m wide. What is its area (in sq m)?
- 13.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
- 14.The perimeter of a square is 32 cm. What is its area (in sq cm)?
- 15.A garden is 21 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)?
- 16.The perimeter of a square is 68 cm. What is its area (in sq cm)?
- 17.A rectangle has an area of 210 sq cm and a length of 15 cm. What is its perimeter (in cm)?
- 18.A park is 52 m long and 48 m wide. Fencing costs ₹35 per metre. What does it cost to fence the park all round (in ₹)?
- 19.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 20.A rectangular field is 29 m long and 10 m wide. What is its area (in sq m)?
- 21.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its perimeter (in cm)?
- 22.A park is 16 m long and 12 m wide. Fencing costs ₹25 per metre. What does it cost to fence the park all round (in ₹)?
- 23.A triangle has a base of 25 cm and a height of 14 cm. What is its area (in sq cm)?
- 24.A rectangle has an area of 896 sq cm and a length of 32 cm. What is its perimeter (in cm)?
- 25.A garden is 32 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)?
- 26.A triangle has a base of 9 cm and a height of 8 cm. What is its area (in sq cm)?
- 27.The perimeter of a square is 80 cm. What is its area (in sq cm)?
- 28.A rectangular field is 40 m long and 12 m wide. What is its area (in sq m)?
- 29.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 30.A triangle has a base of 8 cm and a height of 23 cm. What is its area (in sq cm)?
- 31.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 32.A rectangular field is 20 m long and 3 m wide. What is its area (in sq m)?
- 33.A garden is 10 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)?
- 34.The perimeter of a square is 44 cm. What is its area (in sq cm)?
- 35.A rectangular field is 6 m long and 3 m wide. What is its area (in sq m)?
- 36.The perimeter of a square is 60 cm. What is its area (in sq cm)?
- 37.A rectangle has an area of 814 sq cm and a length of 37 cm. What is its perimeter (in cm)?
- 38.A park is 22 m long and 10 m wide. Fencing costs ₹30 per metre. What does it cost to fence the park all round (in ₹)?
- 39.A rectangular field is 12 m long and 8 m wide. What is its area (in sq m)?
- 40.A rectangle has an area of 1258 sq cm and a length of 37 cm. What is its perimeter (in cm)?
Answer key
- 110
- 49
- 1800
- 1520
- 90
- 62
- 176
- 66
- 220
- 264
- 34
- 60
- 44
- 64
- 68
- 289
- 58
- 7000
- 154
- 290
- 54
- 1400
- 175
- 120
- 90
- 36
- 400
- 480
- 2464
- 92
- 132
- 60
- 84
- 121
- 18
- 225
- 118
- 1920
- 96
- 142
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