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.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 2.A park is 20 m long and 19 m wide. Fencing costs ₹31 per metre. What does it cost to fence the park all round (in ₹)?
- 3.A triangle has a base of 20 cm and a height of 21 cm. What is its area (in sq cm)?
- 4.A rectangle has an area of 63 sq cm and a length of 21 cm. What is its perimeter (in cm)?
- 5.A rectangle has an area of 80 sq cm and a length of 20 cm. What is its perimeter (in cm)?
- 6.The perimeter of a square is 20 cm. What is its area (in sq cm)?
- 7.A park is 60 m long and 7 m wide. Fencing costs ₹12 per metre. What does it cost to fence the park all round (in ₹)?
- 8.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 9.A garden is 39 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)?
- 10.A park is 54 m long and 17 m wide. Fencing costs ₹19 per metre. What does it cost to fence the park all round (in ₹)?
- 11.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
- 12.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 13.A garden is 10 m long and 5 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 14.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its perimeter (in cm)?
- 15.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 16.A rectangle has an area of 1200 sq cm and a length of 40 cm. What is its perimeter (in cm)?
- 17.The perimeter of a square is 112 cm. What is its area (in sq cm)?
- 18.A rectangular field is 22 m long and 3 m wide. What is its area (in sq m)?
- 19.A rectangular field is 23 m long and 19 m wide. What is its area (in sq m)?
- 20.A garden is 14 m long and 12 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 21.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 22.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 23.The perimeter of a square is 28 cm. What is its area (in sq cm)?
- 24.A garden is 36 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)?
- 25.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
- 26.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 27.A triangle has a base of 8 cm and a height of 4 cm. What is its area (in sq cm)?
- 28.A rectangular field is 17 m long and 16 m wide. What is its area (in sq m)?
- 29.A triangle has a base of 26 cm and a height of 3 cm. What is its area (in sq cm)?
- 30.The perimeter of a square is 48 cm. What is its area (in sq cm)?
- 31.A garden is 23 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)?
- 32.A park is 32 m long and 19 m wide. Fencing costs ₹28 per metre. What does it cost to fence the park all round (in ₹)?
- 33.A triangle has a base of 11 cm and a height of 14 cm. What is its area (in sq cm)?
- 34.A triangle has a base of 16 cm and a height of 9 cm. What is its area (in sq cm)?
- 35.A rectangular field is 39 m long and 30 m wide. What is its area (in sq m)?
- 36.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its perimeter (in cm)?
- 37.A triangle has a base of 26 cm and a height of 5 cm. What is its area (in sq cm)?
- 38.A rectangle has an area of 532 sq cm and a length of 28 cm. What is its perimeter (in cm)?
- 39.A triangle has a base of 7 cm and a height of 14 cm. What is its area (in sq cm)?
- 40.A garden is 29 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)?
Answer key
- 616
- 2418
- 210
- 48
- 48
- 25
- 1608
- 2464
- 212
- 2698
- 264
- 1386
- 34
- 44
- 154
- 140
- 784
- 66
- 437
- 120
- 88
- 132
- 49
- 96
- 44
- 44
- 16
- 272
- 39
- 144
- 144
- 2856
- 77
- 72
- 1170
- 46
- 65
- 94
- 49
- 240
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