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 diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
- 2.A rectangular field is 17 m long and 5 m wide. What is its area (in sq m)?
- 3.A park is 33 m long and 12 m wide. Fencing costs ₹31 per metre. What does it cost to fence the park all round (in ₹)?
- 4.A rectangular field is 8 m long and 3 m wide. What is its area (in sq m)?
- 5.A triangle has a base of 20 cm and a height of 20 cm. What is its area (in sq cm)?
- 6.A rectangular field is 37 m long and 31 m wide. What is its area (in sq m)?
- 7.A park is 10 m long and 5 m wide. Fencing costs ₹9 per metre. What does it cost to fence the park all round (in ₹)?
- 8.A triangle has a base of 10 cm and a height of 25 cm. What is its area (in sq cm)?
- 9.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 10.A park is 22 m long and 10 m wide. Fencing costs ₹38 per metre. What does it cost to fence the park all round (in ₹)?
- 11.A triangle has a base of 4 cm and a height of 21 cm. What is its area (in sq cm)?
- 12.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
- 13.The perimeter of a square is 100 cm. What is its area (in sq cm)?
- 14.A rectangular field is 28 m long and 10 m wide. What is its area (in sq m)?
- 15.A garden is 14 m long and 7 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 16.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
- 17.A triangle has a base of 28 cm and a height of 4 cm. What is its area (in sq cm)?
- 18.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 19.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 20.A garden is 28 m long and 19 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 21.A garden is 16 m long and 15 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 22.The perimeter of a square is 28 cm. What is its area (in sq cm)?
- 23.A park is 36 m long and 24 m wide. Fencing costs ₹6 per metre. What does it cost to fence the park all round (in ₹)?
- 24.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its perimeter (in cm)?
- 25.A rectangular field is 12 m long and 11 m wide. What is its area (in sq m)?
- 26.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 27.A rectangular field is 26 m long and 3 m wide. What is its area (in sq m)?
- 28.A garden is 36 m long and 35 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 29.A garden is 40 m long and 9 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 30.A garden is 37 m long and 34 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 31.A triangle has a base of 18 cm and a height of 6 cm. What is its area (in sq cm)?
- 32.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its perimeter (in cm)?
- 33.The perimeter of a square is 116 cm. What is its area (in sq cm)?
- 34.The perimeter of a square is 52 cm. What is its area (in sq cm)?
- 35.The perimeter of a square is 16 cm. What is its area (in sq cm)?
- 36.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
- 37.A garden is 38 m long and 33 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 38.A rectangle has an area of 234 sq cm and a length of 18 cm. What is its perimeter (in cm)?
- 39.A garden is 30 m long and 6 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 40.A garden is 21 m long and 6 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
Answer key
- 264
- 85
- 2790
- 24
- 200
- 1147
- 270
- 125
- 1386
- 2432
- 42
- 176
- 625
- 280
- 162
- 220
- 56
- 154
- 2464
- 98
- 66
- 49
- 720
- 38
- 132
- 44
- 78
- 146
- 330
- 300
- 54
- 48
- 841
- 169
- 16
- 220
- 462
- 62
- 252
- 198
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