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 56 cm. What is its circumference (take π = 22/7; in cm)?
- 2.A triangle has a base of 23 cm and a height of 6 cm. What is its area (in sq cm)?
- 3.The perimeter of a square is 28 cm. What is its area (in sq cm)?
- 4.The perimeter of a square is 20 cm. What is its area (in sq cm)?
- 5.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 6.A park is 57 m long and 12 m wide. Fencing costs ₹14 per metre. What does it cost to fence the park all round (in ₹)?
- 7.A rectangular field is 7 m long and 5 m wide. What is its area (in sq m)?
- 8.A garden is 39 m long and 18 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 9.A garden is 13 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)?
- 10.A rectangular field is 19 m long and 12 m wide. What is its area (in sq m)?
- 11.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 12.A garden is 30 m long and 29 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 13.A park is 54 m long and 51 m wide. Fencing costs ₹40 per metre. What does it cost to fence the park all round (in ₹)?
- 14.A park is 16 m long and 6 m wide. Fencing costs ₹35 per metre. What does it cost to fence the park all round (in ₹)?
- 15.A garden is 28 m long and 6 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 16.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its perimeter (in cm)?
- 17.A garden is 18 m long and 17 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 18.A triangle has a base of 18 cm and a height of 11 cm. What is its area (in sq cm)?
- 19.A garden is 31 m long and 10 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 20.A garden is 26 m long and 8 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 21.The perimeter of a square is 24 cm. What is its area (in sq cm)?
- 22.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its perimeter (in cm)?
- 23.A triangle has a base of 26 cm and a height of 21 cm. What is its area (in sq cm)?
- 24.A garden is 17 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)?
- 25.The perimeter of a square is 36 cm. What is its area (in sq cm)?
- 26.A triangle has a base of 20 cm and a height of 7 cm. What is its area (in sq cm)?
- 27.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 28.A rectangle has an area of 792 sq cm and a length of 33 cm. What is its perimeter (in cm)?
- 29.A triangle has a base of 20 cm and a height of 14 cm. What is its area (in sq cm)?
- 30.A park is 25 m long and 8 m wide. Fencing costs ₹28 per metre. What does it cost to fence the park all round (in ₹)?
- 31.A garden is 26 m long and 18 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 32.A triangle has a base of 10 cm and a height of 15 cm. What is its area (in sq cm)?
- 33.A rectangular field is 18 m long and 3 m wide. What is its area (in sq m)?
- 34.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 35.A triangle has a base of 4 cm and a height of 22 cm. What is its area (in sq cm)?
- 36.A rectangular field is 13 m long and 8 m wide. What is its area (in sq m)?
- 37.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its perimeter (in cm)?
- 38.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 39.A garden is 26 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)?
- 40.A garden is 10 m long and 9 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
Answer key
- 176
- 69
- 49
- 25
- 264
- 1932
- 35
- 118
- 104
- 228
- 88
- 252
- 8400
- 1540
- 72
- 38
- 246
- 99
- 282
- 240
- 36
- 40
- 273
- 168
- 81
- 70
- 132
- 114
- 140
- 1848
- 192
- 75
- 54
- 154
- 44
- 104
- 24
- 1386
- 78
- 42
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