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 20 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)?
- 2.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its perimeter (in cm)?
- 3.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its perimeter (in cm)?
- 4.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
- 5.A garden is 14 m long and 12 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 6.A triangle has a base of 6 cm and a height of 18 cm. What is its area (in sq cm)?
- 7.A rectangular field is 6 m long and 4 m wide. What is its area (in sq m)?
- 8.A rectangle has an area of 1088 sq cm and a length of 34 cm. What is its perimeter (in cm)?
- 9.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 10.The perimeter of a square is 84 cm. What is its area (in sq cm)?
- 11.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
- 12.A rectangle has an area of 1073 sq cm and a length of 37 cm. What is its perimeter (in cm)?
- 13.A rectangle has an area of 408 sq cm and a length of 24 cm. What is its perimeter (in cm)?
- 14.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its perimeter (in cm)?
- 15.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its perimeter (in cm)?
- 16.The perimeter of a square is 12 cm. What is its area (in sq cm)?
- 17.A triangle has a base of 5 cm and a height of 24 cm. What is its area (in sq cm)?
- 18.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 19.A garden is 15 m long and 5 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 20.A triangle has a base of 17 cm and a height of 8 cm. What is its area (in sq cm)?
- 21.A triangle has a base of 12 cm and a height of 20 cm. What is its area (in sq cm)?
- 22.A triangle has a base of 4 cm and a height of 22 cm. What is its area (in sq cm)?
- 23.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 24.The perimeter of a square is 92 cm. What is its area (in sq cm)?
- 25.A rectangular field is 35 m long and 15 m wide. What is its area (in sq m)?
- 26.A rectangle has an area of 532 sq cm and a length of 28 cm. What is its perimeter (in cm)?
- 27.A rectangular field is 23 m long and 6 m wide. What is its area (in sq m)?
- 28.A rectangular field is 15 m long and 7 m wide. What is its area (in sq m)?
- 29.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
- 30.A garden is 31 m long and 26 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 31.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 32.A park is 47 m long and 36 m wide. Fencing costs ₹15 per metre. What does it cost to fence the park all round (in ₹)?
- 33.The perimeter of a square is 48 cm. What is its area (in sq cm)?
- 34.A rectangle has an area of 836 sq cm and a length of 38 cm. What is its perimeter (in cm)?
- 35.The perimeter of a square is 116 cm. What is its area (in sq cm)?
- 36.A garden is 18 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)?
- 37.The perimeter of a square is 40 cm. What is its area (in sq cm)?
- 38.A triangle has a base of 30 cm and a height of 6 cm. What is its area (in sq cm)?
- 39.A garden is 40 m long and 27 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 40.A triangle has a base of 23 cm and a height of 8 cm. What is its area (in sq cm)?
Answer key
- 222
- 16
- 24
- 264
- 56
- 54
- 24
- 132
- 2464
- 441
- 220
- 132
- 82
- 18
- 38
- 9
- 60
- 88
- 156
- 68
- 120
- 44
- 1386
- 529
- 525
- 94
- 138
- 105
- 220
- 244
- 44
- 2490
- 144
- 120
- 841
- 120
- 100
- 90
- 438
- 92
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