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 10 m long and 4 m wide. What is its area (in sq m)?
- 2.A triangle has a base of 9 cm and a height of 6 cm. What is its area (in sq cm)?
- 3.A rectangle has an area of 546 sq cm and a length of 26 cm. What is its perimeter (in cm)?
- 4.A triangle has a base of 16 cm and a height of 5 cm. What is its area (in sq cm)?
- 5.A rectangle has an area of 87 sq cm and a length of 29 cm. What is its perimeter (in cm)?
- 6.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
- 7.A rectangle has an area of 253 sq cm and a length of 23 cm. What is its perimeter (in cm)?
- 8.The perimeter of a square is 64 cm. What is its area (in sq cm)?
- 9.The perimeter of a square is 60 cm. What is its area (in sq cm)?
- 10.The perimeter of a square is 76 cm. What is its area (in sq cm)?
- 11.A park is 42 m long and 6 m wide. Fencing costs ₹16 per metre. What does it cost to fence the park all round (in ₹)?
- 12.A garden is 10 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)?
- 13.A garden is 15 m long and 12 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 14.A triangle has a base of 19 cm and a height of 24 cm. What is its area (in sq cm)?
- 15.A garden is 29 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)?
- 16.A triangle has a base of 20 cm and a height of 7 cm. What is its area (in sq cm)?
- 17.A triangle has a base of 12 cm and a height of 7 cm. What is its area (in sq cm)?
- 18.The perimeter of a square is 100 cm. What is its area (in sq cm)?
- 19.A park is 22 m long and 19 m wide. Fencing costs ₹37 per metre. What does it cost to fence the park all round (in ₹)?
- 20.A garden is 27 m long and 22 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 21.A park is 25 m long and 13 m wide. Fencing costs ₹20 per metre. What does it cost to fence the park all round (in ₹)?
- 22.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
- 23.The perimeter of a square is 28 cm. What is its area (in sq cm)?
- 24.A park is 50 m long and 23 m wide. Fencing costs ₹31 per metre. What does it cost to fence the park all round (in ₹)?
- 25.A rectangle has an area of 713 sq cm and a length of 31 cm. What is its perimeter (in cm)?
- 26.A garden is 17 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)?
- 27.The perimeter of a square is 120 cm. What is its area (in sq cm)?
- 28.A rectangle has an area of 936 sq cm and a length of 36 cm. What is its perimeter (in cm)?
- 29.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 30.A triangle has a base of 26 cm and a height of 3 cm. What is its area (in sq cm)?
- 31.A garden is 28 m long and 26 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 32.A park is 21 m long and 10 m wide. Fencing costs ₹15 per metre. What does it cost to fence the park all round (in ₹)?
- 33.A garden is 17 m long and 7 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 34.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 35.A park is 13 m long and 10 m wide. Fencing costs ₹15 per metre. What does it cost to fence the park all round (in ₹)?
- 36.A park is 33 m long and 21 m wide. Fencing costs ₹19 per metre. What does it cost to fence the park all round (in ₹)?
- 37.A park is 55 m long and 10 m wide. Fencing costs ₹32 per metre. What does it cost to fence the park all round (in ₹)?
- 38.A rectangular field is 34 m long and 30 m wide. What is its area (in sq m)?
- 39.A park is 35 m long and 23 m wide. Fencing costs ₹22 per metre. What does it cost to fence the park all round (in ₹)?
- 40.A garden is 12 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)?
Answer key
- 40
- 27
- 94
- 40
- 64
- 264
- 68
- 256
- 225
- 361
- 1536
- 76
- 58
- 228
- 76
- 70
- 42
- 625
- 3034
- 330
- 1520
- 132
- 49
- 4526
- 108
- 198
- 900
- 124
- 154
- 39
- 112
- 930
- 180
- 616
- 690
- 2052
- 4160
- 1020
- 2552
- 84
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