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 park is 32 m long and 31 m wide. Fencing costs ₹25 per metre. What does it cost to fence the park all round (in ₹)?
- 2.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its perimeter (in cm)?
- 3.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 4.A park is 34 m long and 10 m wide. Fencing costs ₹5 per metre. What does it cost to fence the park all round (in ₹)?
- 5.A triangle has a base of 28 cm and a height of 25 cm. What is its area (in sq cm)?
- 6.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 7.The perimeter of a square is 32 cm. What is its area (in sq cm)?
- 8.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its perimeter (in cm)?
- 9.A triangle has a base of 8 cm and a height of 21 cm. What is its area (in sq cm)?
- 10.A garden is 24 m long and 5 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 11.A triangle has a base of 12 cm and a height of 7 cm. What is its area (in sq cm)?
- 12.A park is 46 m long and 30 m wide. Fencing costs ₹29 per metre. What does it cost to fence the park all round (in ₹)?
- 13.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
- 14.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
- 15.A garden is 34 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)?
- 16.A garden is 30 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)?
- 17.A rectangle has an area of 1326 sq cm and a length of 39 cm. What is its perimeter (in cm)?
- 18.The perimeter of a square is 108 cm. What is its area (in sq cm)?
- 19.A triangle has a base of 8 cm and a height of 12 cm. What is its area (in sq cm)?
- 20.A garden is 39 m long and 14 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 21.A rectangle has an area of 1320 sq cm and a length of 40 cm. What is its perimeter (in cm)?
- 22.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its perimeter (in cm)?
- 23.A garden is 36 m long and 28 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 24.A park is 54 m long and 40 m wide. Fencing costs ₹29 per metre. What does it cost to fence the park all round (in ₹)?
- 25.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 26.A garden is 34 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)?
- 27.A rectangle has an area of 540 sq cm and a length of 30 cm. What is its perimeter (in cm)?
- 28.A garden is 23 m long and 8 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 29.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 30.The perimeter of a square is 44 cm. What is its area (in sq cm)?
- 31.A rectangle has an area of 1088 sq cm and a length of 34 cm. What is its perimeter (in cm)?
- 32.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 33.The perimeter of a square is 80 cm. What is its area (in sq cm)?
- 34.A triangle has a base of 7 cm and a height of 4 cm. What is its area (in sq cm)?
- 35.A garden is 39 m long and 33 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 36.A triangle has a base of 20 cm and a height of 24 cm. What is its area (in sq cm)?
- 37.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its perimeter (in cm)?
- 38.The perimeter of a square is 92 cm. What is its area (in sq cm)?
- 39.A park is 36 m long and 34 m wide. Fencing costs ₹25 per metre. What does it cost to fence the park all round (in ₹)?
- 40.A park is 29 m long and 6 m wide. Fencing costs ₹8 per metre. What does it cost to fence the park all round (in ₹)?
Answer key
- 3150
- 50
- 88
- 440
- 350
- 1386
- 64
- 24
- 84
- 132
- 42
- 4408
- 44
- 132
- 402
- 88
- 146
- 729
- 48
- 110
- 146
- 20
- 272
- 5452
- 132
- 96
- 96
- 66
- 154
- 121
- 132
- 616
- 400
- 14
- 148
- 240
- 42
- 529
- 3500
- 560
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