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 70 cm. What is its circumference (take π = 22/7; in cm)?
- 2.A park is 12 m long and 5 m wide. Fencing costs ₹6 per metre. What does it cost to fence the park all round (in ₹)?
- 3.A park is 32 m long and 21 m wide. Fencing costs ₹22 per metre. What does it cost to fence the park all round (in ₹)?
- 4.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its perimeter (in cm)?
- 5.The perimeter of a square is 48 cm. What is its area (in sq cm)?
- 6.A rectangular field is 28 m long and 23 m wide. What is its area (in sq m)?
- 7.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 8.A rectangle has an area of 360 sq cm and a length of 24 cm. What is its perimeter (in cm)?
- 9.A rectangle has an area of 96 sq cm and a length of 24 cm. What is its perimeter (in cm)?
- 10.The perimeter of a square is 44 cm. What is its area (in sq cm)?
- 11.A park is 38 m long and 19 m wide. Fencing costs ₹40 per metre. What does it cost to fence the park all round (in ₹)?
- 12.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 13.A garden is 37 m long and 35 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 14.A rectangle has an area of 450 sq cm and a length of 30 cm. What is its perimeter (in cm)?
- 15.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 16.A park is 11 m long and 10 m wide. Fencing costs ₹40 per metre. What does it cost to fence the park all round (in ₹)?
- 17.A rectangular field is 30 m long and 25 m wide. What is its area (in sq m)?
- 18.A park is 21 m long and 17 m wide. Fencing costs ₹31 per metre. What does it cost to fence the park all round (in ₹)?
- 19.A park is 10 m long and 5 m wide. Fencing costs ₹11 per metre. What does it cost to fence the park all round (in ₹)?
- 20.A rectangular field is 30 m long and 22 m wide. What is its area (in sq m)?
- 21.The perimeter of a square is 100 cm. What is its area (in sq cm)?
- 22.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
- 23.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its perimeter (in cm)?
- 24.A rectangular field is 18 m long and 7 m wide. What is its area (in sq m)?
- 25.A garden is 33 m long and 18 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 26.A triangle has a base of 4 cm and a height of 16 cm. What is its area (in sq cm)?
- 27.The perimeter of a square is 40 cm. What is its area (in sq cm)?
- 28.A park is 45 m long and 12 m wide. Fencing costs ₹5 per metre. What does it cost to fence the park all round (in ₹)?
- 29.A rectangular field is 34 m long and 31 m wide. What is its area (in sq m)?
- 30.A garden is 37 m long and 11 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 31.A garden is 32 m long and 31 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 32.The perimeter of a square is 28 cm. What is its area (in sq cm)?
- 33.A rectangle has an area of 540 sq cm and a length of 36 cm. What is its perimeter (in cm)?
- 34.A triangle has a base of 10 cm and a height of 16 cm. What is its area (in sq cm)?
- 35.A rectangle has an area of 1056 sq cm and a length of 33 cm. What is its perimeter (in cm)?
- 36.The perimeter of a square is 36 cm. What is its area (in sq cm)?
- 37.A garden is 32 m long and 25 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 38.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 39.The perimeter of a square is 92 cm. What is its area (in sq cm)?
- 40.A rectangular field is 20 m long and 17 m wide. What is its area (in sq m)?
Answer key
- 220
- 204
- 2332
- 44
- 144
- 644
- 154
- 78
- 56
- 121
- 4560
- 616
- 304
- 90
- 264
- 1680
- 750
- 2356
- 330
- 660
- 625
- 220
- 28
- 126
- 342
- 32
- 100
- 570
- 1054
- 208
- 414
- 49
- 102
- 80
- 130
- 81
- 244
- 1386
- 529
- 340
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