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 53 m long and 27 m wide. Fencing costs ₹11 per metre. What does it cost to fence the park all round (in ₹)?
- 2.A park is 54 m long and 45 m wide. Fencing costs ₹12 per metre. What does it cost to fence the park all round (in ₹)?
- 3.A garden is 22 m long and 13 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 4.A triangle has a base of 28 cm and a height of 3 cm. What is its area (in sq cm)?
- 5.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 6.A rectangular field is 20 m long and 8 m wide. What is its area (in sq m)?
- 7.A park is 33 m long and 25 m wide. Fencing costs ₹19 per metre. What does it cost to fence the park all round (in ₹)?
- 8.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its perimeter (in cm)?
- 9.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its perimeter (in cm)?
- 10.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its perimeter (in cm)?
- 11.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
- 12.The perimeter of a square is 20 cm. What is its area (in sq cm)?
- 13.A garden is 20 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)?
- 14.A garden is 15 m long and 11 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 15.A triangle has a base of 12 cm and a height of 6 cm. What is its area (in sq cm)?
- 16.A triangle has a base of 26 cm and a height of 16 cm. What is its area (in sq cm)?
- 17.The perimeter of a square is 116 cm. What is its area (in sq cm)?
- 18.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 19.A park is 16 m long and 9 m wide. Fencing costs ₹5 per metre. What does it cost to fence the park all round (in ₹)?
- 20.A park is 57 m long and 46 m wide. Fencing costs ₹32 per metre. What does it cost to fence the park all round (in ₹)?
- 21.A rectangle has an area of 1295 sq cm and a length of 37 cm. What is its perimeter (in cm)?
- 22.A rectangular field is 17 m long and 13 m wide. What is its area (in sq m)?
- 23.A rectangular field is 35 m long and 21 m wide. What is its area (in sq m)?
- 24.A garden is 23 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)?
- 25.A rectangle has an area of 806 sq cm and a length of 31 cm. What is its perimeter (in cm)?
- 26.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its perimeter (in cm)?
- 27.The perimeter of a square is 68 cm. What is its area (in sq cm)?
- 28.The perimeter of a square is 72 cm. What is its area (in sq cm)?
- 29.A garden is 17 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)?
- 30.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 31.A park is 55 m long and 53 m wide. Fencing costs ₹7 per metre. What does it cost to fence the park all round (in ₹)?
- 32.A rectangular field is 18 m long and 4 m wide. What is its area (in sq m)?
- 33.The perimeter of a square is 40 cm. What is its area (in sq cm)?
- 34.A triangle has a base of 25 cm and a height of 24 cm. What is its area (in sq cm)?
- 35.A garden is 19 m long and 16 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 36.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 37.The perimeter of a square is 108 cm. What is its area (in sq cm)?
- 38.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
- 39.The perimeter of a square is 120 cm. What is its area (in sq cm)?
- 40.The perimeter of a square is 56 cm. What is its area (in sq cm)?
Answer key
- 1760
- 2376
- 156
- 42
- 154
- 160
- 2204
- 36
- 16
- 30
- 44
- 25
- 116
- 120
- 36
- 208
- 841
- 88
- 250
- 6592
- 144
- 221
- 735
- 94
- 114
- 36
- 289
- 324
- 66
- 2464
- 1512
- 72
- 100
- 300
- 156
- 132
- 729
- 220
- 900
- 196
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