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 12 cm and a height of 12 cm. What is its area (in sq cm)?
- 2.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 3.A rectangle has an area of 125 sq cm and a length of 25 cm. What is its perimeter (in cm)?
- 4.A triangle has a base of 20 cm and a height of 21 cm. What is its area (in sq cm)?
- 5.The perimeter of a square is 80 cm. What is its area (in sq cm)?
- 6.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its perimeter (in cm)?
- 7.A park is 51 m long and 40 m wide. Fencing costs ₹30 per metre. What does it cost to fence the park all round (in ₹)?
- 8.A triangle has a base of 26 cm and a height of 19 cm. What is its area (in sq cm)?
- 9.A triangle has a base of 30 cm and a height of 17 cm. What is its area (in sq cm)?
- 10.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 11.A rectangular field is 9 m long and 5 m wide. What is its area (in sq m)?
- 12.A triangle has a base of 17 cm and a height of 12 cm. What is its area (in sq cm)?
- 13.A triangle has a base of 14 cm and a height of 19 cm. What is its area (in sq cm)?
- 14.A rectangle has an area of 1443 sq cm and a length of 39 cm. What is its perimeter (in cm)?
- 15.A garden is 22 m long and 18 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 16.A rectangle has an area of 224 sq cm and a length of 16 cm. What is its perimeter (in cm)?
- 17.A garden is 28 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)?
- 18.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its perimeter (in cm)?
- 19.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 20.A rectangular field is 36 m long and 24 m wide. What is its area (in sq m)?
- 21.The perimeter of a square is 76 cm. What is its area (in sq cm)?
- 22.A rectangular field is 17 m long and 10 m wide. What is its area (in sq m)?
- 23.A rectangle has an area of 272 sq cm and a length of 17 cm. What is its perimeter (in cm)?
- 24.The perimeter of a square is 72 cm. What is its area (in sq cm)?
- 25.A rectangular field is 27 m long and 9 m wide. What is its area (in sq m)?
- 26.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 27.A park is 31 m long and 22 m wide. Fencing costs ₹11 per metre. What does it cost to fence the park all round (in ₹)?
- 28.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 29.A rectangle has an area of 648 sq cm and a length of 36 cm. What is its perimeter (in cm)?
- 30.The perimeter of a square is 116 cm. What is its area (in sq cm)?
- 31.A garden is 32 m long and 5 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 32.A rectangular field is 14 m long and 9 m wide. What is its area (in sq m)?
- 33.The perimeter of a square is 16 cm. What is its area (in sq cm)?
- 34.The perimeter of a square is 104 cm. What is its area (in sq cm)?
- 35.A rectangular field is 26 m long and 3 m wide. What is its area (in sq m)?
- 36.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
- 37.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 38.A garden is 23 m long and 17 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 39.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its perimeter (in cm)?
- 40.A triangle has a base of 10 cm and a height of 3 cm. What is its area (in sq cm)?
Answer key
- 72
- 616
- 60
- 210
- 400
- 32
- 5460
- 247
- 255
- 154
- 45
- 102
- 133
- 152
- 276
- 60
- 74
- 46
- 132
- 864
- 361
- 170
- 66
- 324
- 243
- 264
- 1166
- 2464
- 108
- 841
- 78
- 126
- 16
- 676
- 78
- 176
- 88
- 84
- 46
- 15
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