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.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 2.The perimeter of a square is 96 cm. What is its area (in sq cm)?
- 3.A rectangular field is 14 m long and 13 m wide. What is its area (in sq m)?
- 4.A triangle has a base of 15 cm and a height of 4 cm. What is its area (in sq cm)?
- 5.A triangle has a base of 8 cm and a height of 12 cm. What is its area (in sq cm)?
- 6.A triangle has a base of 10 cm and a height of 8 cm. What is its area (in sq cm)?
- 7.The perimeter of a square is 64 cm. What is its area (in sq cm)?
- 8.A park is 19 m long and 12 m wide. Fencing costs ₹13 per metre. What does it cost to fence the park all round (in ₹)?
- 9.A triangle has a base of 16 cm and a height of 9 cm. What is its area (in sq cm)?
- 10.A garden is 38 m long and 15 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 39 m long and 10 m wide. A path 2 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 38 m long and 8 m wide. Fencing costs ₹9 per metre. What does it cost to fence the park all round (in ₹)?
- 14.A rectangle has an area of 221 sq cm and a length of 17 cm. What is its perimeter (in cm)?
- 15.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 16.A rectangular field is 10 m long and 5 m wide. What is its area (in sq m)?
- 17.A garden is 14 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)?
- 18.A rectangle has an area of 192 sq cm and a length of 32 cm. What is its perimeter (in cm)?
- 19.A round wheel has a radius of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 20.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
- 21.The perimeter of a square is 68 cm. What is its area (in sq cm)?
- 22.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its perimeter (in cm)?
- 23.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 24.A park is 22 m long and 18 m wide. Fencing costs ₹8 per metre. What does it cost to fence the park all round (in ₹)?
- 25.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its perimeter (in cm)?
- 26.A rectangular field is 5 m long and 4 m wide. What is its area (in sq m)?
- 27.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 28.A rectangular field is 22 m long and 19 m wide. What is its area (in sq m)?
- 29.The perimeter of a square is 100 cm. What is its area (in sq cm)?
- 30.A park is 23 m long and 12 m wide. Fencing costs ₹10 per metre. What does it cost to fence the park all round (in ₹)?
- 31.A garden is 39 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)?
- 32.A triangle has a base of 12 cm and a height of 22 cm. What is its area (in sq cm)?
- 33.The perimeter of a square is 92 cm. What is its area (in sq cm)?
- 34.A rectangle has an area of 459 sq cm and a length of 27 cm. What is its perimeter (in cm)?
- 35.The perimeter of a square is 20 cm. What is its area (in sq cm)?
- 36.The perimeter of a square is 16 cm. What is its area (in sq cm)?
- 37.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
- 38.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 39.A rectangular field is 36 m long and 14 m wide. What is its area (in sq m)?
- 40.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its perimeter (in cm)?
Answer key
- 1386
- 576
- 182
- 30
- 48
- 40
- 256
- 806
- 72
- 354
- 212
- 264
- 828
- 60
- 154
- 50
- 92
- 76
- 176
- 132
- 289
- 16
- 616
- 640
- 42
- 20
- 2464
- 418
- 625
- 700
- 192
- 132
- 529
- 88
- 25
- 16
- 264
- 88
- 504
- 20
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