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 round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 2.A garden is 19 m long and 10 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 3.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 4.The perimeter of a square is 16 cm. What is its area (in sq cm)?
- 5.A garden is 12 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)?
- 6.A rectangular field is 18 m long and 10 m wide. What is its area (in sq m)?
- 7.A rectangle has an area of 48 sq cm and a length of 16 cm. What is its perimeter (in cm)?
- 8.A garden is 34 m long and 24 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 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 64 cm. What is its area (in sq cm)?
- 11.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 12.A park is 57 m long and 54 m wide. Fencing costs ₹16 per metre. What does it cost to fence the park all round (in ₹)?
- 13.A triangle has a base of 6 cm and a height of 18 cm. What is its area (in sq cm)?
- 14.A triangle has a base of 18 cm and a height of 18 cm. What is its area (in sq cm)?
- 15.A triangle has a base of 24 cm and a height of 15 cm. What is its area (in sq cm)?
- 16.A rectangle has an area of 444 sq cm and a length of 37 cm. What is its perimeter (in cm)?
- 17.The perimeter of a square is 40 cm. What is its area (in sq cm)?
- 18.A park is 19 m long and 18 m wide. Fencing costs ₹8 per metre. What does it cost to fence the park all round (in ₹)?
- 19.A garden is 16 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)?
- 20.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
- 21.A rectangle has an area of 558 sq cm and a length of 31 cm. What is its perimeter (in cm)?
- 22.A rectangular field is 30 m long and 29 m wide. What is its area (in sq m)?
- 23.The perimeter of a square is 68 cm. What is its area (in sq cm)?
- 24.A park is 35 m long and 9 m wide. Fencing costs ₹25 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 rectangular field is 21 m long and 10 m wide. What is its area (in sq m)?
- 27.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its perimeter (in cm)?
- 28.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
- 29.A garden is 30 m long and 10 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 30.The perimeter of a square is 20 cm. What is its area (in sq cm)?
- 31.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 32.A park is 13 m long and 7 m wide. Fencing costs ₹36 per metre. What does it cost to fence the park all round (in ₹)?
- 33.A garden is 22 m long and 9 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 34.A garden is 16 m long and 6 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 35.A triangle has a base of 10 cm and a height of 25 cm. What is its area (in sq cm)?
- 36.A rectangular field is 27 m long and 16 m wide. What is its area (in sq m)?
- 37.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
- 38.A park is 48 m long and 42 m wide. Fencing costs ₹5 per metre. What does it cost to fence the park all round (in ₹)?
- 39.A rectangular field is 29 m long and 21 m wide. What is its area (in sq m)?
- 40.A rectangular field is 14 m long and 9 m wide. What is its area (in sq m)?
Answer key
- 88
- 132
- 44
- 16
- 50
- 180
- 38
- 120
- 2464
- 256
- 616
- 3552
- 54
- 162
- 180
- 98
- 100
- 592
- 60
- 220
- 98
- 870
- 289
- 2200
- 88
- 210
- 28
- 44
- 84
- 25
- 154
- 1440
- 140
- 104
- 125
- 432
- 220
- 900
- 609
- 126
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