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 35 m long and 10 m wide. What is its area (in sq m)?
- 2.A rectangle has an area of 407 sq cm and a length of 37 cm. What is its perimeter (in cm)?
- 3.A triangle has a base of 4 cm and a height of 9 cm. What is its area (in sq cm)?
- 4.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 5.A park is 10 m long and 9 m wide. Fencing costs ₹21 per metre. What does it cost to fence the park all round (in ₹)?
- 6.A garden is 26 m long and 8 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 7.A triangle has a base of 17 cm and a height of 14 cm. What is its area (in sq cm)?
- 8.A park is 45 m long and 19 m wide. Fencing costs ₹34 per metre. What does it cost to fence the park all round (in ₹)?
- 9.A rectangular field is 26 m long and 9 m wide. What is its area (in sq m)?
- 10.A park is 42 m long and 33 m wide. Fencing costs ₹8 per metre. What does it cost to fence the park all round (in ₹)?
- 11.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 12.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its perimeter (in cm)?
- 13.A triangle has a base of 7 cm and a height of 18 cm. What is its area (in sq cm)?
- 14.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
- 15.A park is 23 m long and 16 m wide. Fencing costs ₹31 per metre. What does it cost to fence the park all round (in ₹)?
- 16.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
- 17.A rectangular field is 17 m long and 15 m wide. What is its area (in sq m)?
- 18.A rectangular field is 8 m long and 4 m wide. What is its area (in sq m)?
- 19.A park is 41 m long and 25 m wide. Fencing costs ₹9 per metre. What does it cost to fence the park all round (in ₹)?
- 20.A rectangular field is 30 m long and 24 m wide. What is its area (in sq m)?
- 21.A rectangle has an area of 420 sq cm and a length of 30 cm. What is its perimeter (in cm)?
- 22.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 23.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 24.A rectangular field is 23 m long and 20 m wide. What is its area (in sq m)?
- 25.The perimeter of a square is 68 cm. What is its area (in sq cm)?
- 26.A park is 36 m long and 18 m wide. Fencing costs ₹29 per metre. What does it cost to fence the park all round (in ₹)?
- 27.A garden is 10 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)?
- 28.A park is 34 m long and 16 m wide. Fencing costs ₹32 per metre. What does it cost to fence the park all round (in ₹)?
- 29.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 30.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
- 31.A rectangular field is 29 m long and 27 m wide. What is its area (in sq m)?
- 32.The perimeter of a square is 72 cm. What is its area (in sq cm)?
- 33.A triangle has a base of 8 cm and a height of 22 cm. What is its area (in sq cm)?
- 34.A garden is 28 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)?
- 35.A triangle has a base of 24 cm and a height of 23 cm. What is its area (in sq cm)?
- 36.A garden is 13 m long and 8 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 37.The perimeter of a square is 28 cm. What is its area (in sq cm)?
- 38.A rectangle has an area of 851 sq cm and a length of 37 cm. What is its perimeter (in cm)?
- 39.The perimeter of a square is 32 cm. What is its area (in sq cm)?
- 40.A triangle has a base of 12 cm and a height of 9 cm. What is its area (in sq cm)?
Answer key
- 350
- 96
- 18
- 616
- 798
- 72
- 119
- 4352
- 234
- 1200
- 88
- 46
- 63
- 264
- 2418
- 132
- 255
- 32
- 1188
- 720
- 88
- 264
- 154
- 460
- 289
- 3132
- 36
- 3200
- 132
- 220
- 783
- 324
- 88
- 172
- 276
- 46
- 49
- 120
- 64
- 54
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