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 20 m long and 18 m wide. Fencing costs ₹8 per metre. What does it cost to fence the park all round (in ₹)?
- 2.A rectangular field is 24 m long and 22 m wide. What is its area (in sq m)?
- 3.A triangle has a base of 25 cm and a height of 22 cm. What is its area (in sq cm)?
- 4.A triangle has a base of 10 cm and a height of 9 cm. What is its area (in sq cm)?
- 5.A round wheel has a radius of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 6.The perimeter of a square is 116 cm. What is its area (in sq cm)?
- 7.The perimeter of a square is 104 cm. What is its area (in sq cm)?
- 8.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 9.A park is 12 m long and 8 m wide. Fencing costs ₹33 per metre. What does it cost to fence the park all round (in ₹)?
- 10.A garden is 16 m long and 14 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 11.A park is 30 m long and 18 m wide. Fencing costs ₹17 per metre. What does it cost to fence the park all round (in ₹)?
- 12.The perimeter of a square is 36 cm. What is its area (in sq cm)?
- 13.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 14.A rectangular field is 11 m long and 10 m wide. What is its area (in sq m)?
- 15.A garden is 40 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)?
- 16.A garden is 10 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)?
- 17.A garden is 14 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)?
- 18.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 19.A rectangle has an area of 240 sq cm and a length of 16 cm. What is its perimeter (in cm)?
- 20.The perimeter of a square is 24 cm. What is its area (in sq cm)?
- 21.A garden is 29 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)?
- 22.A garden is 36 m long and 13 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 23.A rectangular field is 25 m long and 3 m wide. What is its area (in sq m)?
- 24.A rectangular field is 35 m long and 20 m wide. What is its area (in sq m)?
- 25.A garden is 30 m long and 7 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 26.A rectangle has an area of 308 sq cm and a length of 28 cm. What is its perimeter (in cm)?
- 27.A park is 17 m long and 11 m wide. Fencing costs ₹35 per metre. What does it cost to fence the park all round (in ₹)?
- 28.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its perimeter (in cm)?
- 29.A garden is 31 m long and 12 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 30.A rectangular field is 39 m long and 37 m wide. What is its area (in sq m)?
- 31.The perimeter of a square is 76 cm. What is its area (in sq cm)?
- 32.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
- 33.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its perimeter (in cm)?
- 34.A rectangular field is 22 m long and 16 m wide. What is its area (in sq m)?
- 35.A garden is 16 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)?
- 36.A triangle has a base of 25 cm and a height of 10 cm. What is its area (in sq cm)?
- 37.A rectangular field is 27 m long and 23 m wide. What is its area (in sq m)?
- 38.A rectangle has an area of 396 sq cm and a length of 33 cm. What is its perimeter (in cm)?
- 39.A triangle has a base of 30 cm and a height of 4 cm. What is its area (in sq cm)?
- 40.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
Answer key
- 608
- 528
- 275
- 45
- 176
- 841
- 676
- 154
- 1320
- 136
- 1632
- 81
- 88
- 110
- 224
- 80
- 92
- 264
- 62
- 36
- 98
- 102
- 75
- 700
- 78
- 78
- 1960
- 28
- 294
- 1443
- 361
- 176
- 22
- 352
- 132
- 125
- 621
- 90
- 60
- 1386
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