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 rectangular field is 14 m long and 9 m wide. What is its area (in sq m)?
- 2.A rectangular field is 18 m long and 14 m wide. What is its area (in sq m)?
- 3.A rectangular field is 25 m long and 18 m wide. What is its area (in sq m)?
- 4.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its perimeter (in cm)?
- 5.A park is 57 m long and 16 m wide. Fencing costs ₹11 per metre. What does it cost to fence the park all round (in ₹)?
- 6.A garden is 38 m long and 24 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 7.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 8.A garden is 37 m long and 30 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 9.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 10.A garden is 12 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)?
- 11.A garden is 23 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)?
- 12.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 13.A park is 51 m long and 8 m wide. Fencing costs ₹40 per metre. What does it cost to fence the park all round (in ₹)?
- 14.A triangle has a base of 4 cm and a height of 24 cm. What is its area (in sq cm)?
- 15.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 16.The perimeter of a square is 48 cm. What is its area (in sq cm)?
- 17.A rectangle has an area of 660 sq cm and a length of 30 cm. What is its perimeter (in cm)?
- 18.The perimeter of a square is 28 cm. What is its area (in sq cm)?
- 19.A rectangular field is 22 m long and 11 m wide. What is its area (in sq m)?
- 20.A triangle has a base of 19 cm and a height of 24 cm. What is its area (in sq cm)?
- 21.A rectangular field is 5 m long and 4 m wide. What is its area (in sq m)?
- 22.A park is 22 m long and 14 m wide. Fencing costs ₹37 per metre. What does it cost to fence the park all round (in ₹)?
- 23.A rectangular field is 18 m long and 16 m wide. What is its area (in sq m)?
- 24.The perimeter of a square is 84 cm. What is its area (in sq cm)?
- 25.The perimeter of a square is 120 cm. What is its area (in sq cm)?
- 26.A rectangular field is 31 m long and 29 m wide. What is its area (in sq m)?
- 27.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
- 28.The perimeter of a square is 100 cm. What is its area (in sq cm)?
- 29.A park is 29 m long and 14 m wide. Fencing costs ₹6 per metre. What does it cost to fence the park all round (in ₹)?
- 30.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
- 31.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 32.A garden is 36 m long and 26 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 33.A triangle has a base of 28 cm and a height of 21 cm. What is its area (in sq cm)?
- 34.A garden is 23 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)?
- 35.A triangle has a base of 12 cm and a height of 25 cm. What is its area (in sq cm)?
- 36.A rectangular field is 38 m long and 14 m wide. What is its area (in sq m)?
- 37.A garden is 29 m long and 23 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 38.A garden is 34 m long and 17 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 39.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 40.A triangle has a base of 21 cm and a height of 16 cm. What is its area (in sq cm)?
Answer key
- 126
- 252
- 450
- 38
- 1606
- 408
- 1386
- 138
- 2464
- 144
- 62
- 264
- 4720
- 48
- 616
- 144
- 104
- 49
- 242
- 228
- 20
- 2664
- 288
- 441
- 900
- 899
- 220
- 625
- 516
- 220
- 154
- 408
- 294
- 70
- 150
- 532
- 108
- 220
- 44
- 168
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