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 triangle has a base of 10 cm and a height of 13 cm. What is its area (in sq cm)?
- 2.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 3.A rectangular field is 36 m long and 12 m wide. What is its area (in sq m)?
- 4.A park is 56 m long and 15 m wide. Fencing costs ₹34 per metre. What does it cost to fence the park all round (in ₹)?
- 5.A rectangular field is 10 m long and 4 m wide. What is its area (in sq m)?
- 6.The perimeter of a square is 96 cm. What is its area (in sq cm)?
- 7.A garden is 12 m long and 9 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 8.A triangle has a base of 18 cm and a height of 9 cm. What is its area (in sq cm)?
- 9.The perimeter of a square is 36 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 round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
- 12.A park is 37 m long and 36 m wide. Fencing costs ₹21 per metre. What does it cost to fence the park all round (in ₹)?
- 13.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 14.A garden is 25 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)?
- 15.A garden is 24 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)?
- 16.The perimeter of a square is 20 cm. What is its area (in sq cm)?
- 17.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its perimeter (in cm)?
- 18.A rectangle has an area of 588 sq cm and a length of 28 cm. What is its perimeter (in cm)?
- 19.A garden is 28 m long and 11 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 20.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 21.A park is 23 m long and 7 m wide. Fencing costs ₹9 per metre. What does it cost to fence the park all round (in ₹)?
- 22.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 23.A rectangular field is 15 m long and 8 m wide. What is its area (in sq m)?
- 24.A rectangular field is 29 m long and 23 m wide. What is its area (in sq m)?
- 25.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its perimeter (in cm)?
- 26.The perimeter of a square is 24 cm. What is its area (in sq cm)?
- 27.The perimeter of a square is 32 cm. What is its area (in sq cm)?
- 28.A park is 24 m long and 12 m wide. Fencing costs ₹30 per metre. What does it cost to fence the park all round (in ₹)?
- 29.The perimeter of a square is 68 cm. What is its area (in sq cm)?
- 30.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
- 31.A triangle has a base of 23 cm and a height of 22 cm. What is its area (in sq cm)?
- 32.A park is 13 m long and 5 m wide. Fencing costs ₹39 per metre. What does it cost to fence the park all round (in ₹)?
- 33.A rectangle has an area of 609 sq cm and a length of 29 cm. What is its perimeter (in cm)?
- 34.A rectangular field is 18 m long and 11 m wide. What is its area (in sq m)?
- 35.A park is 51 m long and 48 m wide. Fencing costs ₹9 per metre. What does it cost to fence the park all round (in ₹)?
- 36.A triangle has a base of 12 cm and a height of 18 cm. What is its area (in sq cm)?
- 37.A rectangular field is 13 m long and 10 m wide. What is its area (in sq m)?
- 38.A rectangle has an area of 403 sq cm and a length of 31 cm. What is its perimeter (in cm)?
- 39.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 40.A rectangular field is 30 m long and 10 m wide. What is its area (in sq m)?
Answer key
- 65
- 154
- 432
- 4828
- 40
- 576
- 100
- 81
- 81
- 361
- 132
- 3066
- 1386
- 74
- 156
- 25
- 48
- 98
- 270
- 88
- 540
- 2464
- 120
- 667
- 28
- 36
- 64
- 2160
- 289
- 44
- 253
- 1404
- 100
- 198
- 1782
- 108
- 130
- 88
- 88
- 300
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