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 30 m long and 23 m wide. What is its area (in sq m)?
- 2.A triangle has a base of 30 cm and a height of 18 cm. What is its area (in sq cm)?
- 3.A garden is 34 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)?
- 4.A rectangular field is 19 m long and 7 m wide. What is its area (in sq m)?
- 5.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 6.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its perimeter (in cm)?
- 7.A rectangular field is 29 m long and 17 m wide. What is its area (in sq m)?
- 8.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its perimeter (in cm)?
- 9.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 10.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
- 11.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its perimeter (in cm)?
- 12.A triangle has a base of 30 cm and a height of 19 cm. What is its area (in sq cm)?
- 13.A rectangular field is 30 m long and 9 m wide. What is its area (in sq m)?
- 14.A garden is 38 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)?
- 15.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its perimeter (in cm)?
- 16.A garden is 36 m long and 32 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 17.A rectangle has an area of 217 sq cm and a length of 31 cm. What is its perimeter (in cm)?
- 18.A triangle has a base of 20 cm and a height of 15 cm. What is its area (in sq cm)?
- 19.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 20.A garden is 14 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)?
- 21.The perimeter of a square is 92 cm. What is its area (in sq cm)?
- 22.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
- 23.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 24.A park is 17 m long and 16 m wide. Fencing costs ₹21 per metre. What does it cost to fence the park all round (in ₹)?
- 25.A rectangular field is 16 m long and 3 m wide. What is its area (in sq m)?
- 26.The perimeter of a square is 48 cm. What is its area (in sq cm)?
- 27.A park is 38 m long and 34 m wide. Fencing costs ₹30 per metre. What does it cost to fence the park all round (in ₹)?
- 28.A park is 17 m long and 15 m wide. Fencing costs ₹36 per metre. What does it cost to fence the park all round (in ₹)?
- 29.A park is 19 m long and 6 m wide. Fencing costs ₹15 per metre. What does it cost to fence the park all round (in ₹)?
- 30.A garden is 40 m long and 27 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 31.The perimeter of a square is 68 cm. What is its area (in sq cm)?
- 32.A rectangular field is 6 m long and 3 m wide. What is its area (in sq m)?
- 33.A garden is 24 m long and 20 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 34.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
- 35.The perimeter of a square is 28 cm. What is its area (in sq cm)?
- 36.A garden is 15 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)?
- 37.A garden is 15 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)?
- 38.A rectangle has an area of 1014 sq cm and a length of 39 cm. What is its perimeter (in cm)?
- 39.A park is 39 m long and 10 m wide. Fencing costs ₹33 per metre. What does it cost to fence the park all round (in ₹)?
- 40.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
Answer key
- 690
- 270
- 294
- 133
- 154
- 36
- 493
- 36
- 88
- 220
- 26
- 285
- 270
- 318
- 30
- 288
- 76
- 150
- 1386
- 44
- 529
- 264
- 2464
- 1386
- 48
- 144
- 4320
- 2304
- 750
- 438
- 289
- 18
- 192
- 176
- 49
- 60
- 54
- 130
- 3234
- 264
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