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 30 m long and 29 m wide. What is its area (in sq m)?
- 2.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 3.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 4.A triangle has a base of 13 cm and a height of 6 cm. What is its area (in sq cm)?
- 5.A garden is 22 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)?
- 6.The perimeter of a square is 116 cm. What is its area (in sq cm)?
- 7.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
- 8.A garden is 17 m long and 16 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 9.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its perimeter (in cm)?
- 10.A triangle has a base of 8 cm and a height of 16 cm. What is its area (in sq cm)?
- 11.The perimeter of a square is 48 cm. What is its area (in sq cm)?
- 12.A garden is 23 m long and 16 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 13.A rectangular field is 26 m long and 13 m wide. What is its area (in sq m)?
- 14.The perimeter of a square is 68 cm. What is its area (in sq cm)?
- 15.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 16.A garden is 39 m long and 15 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 17.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 18.A rectangle has an area of 195 sq cm and a length of 39 cm. What is its perimeter (in cm)?
- 19.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
- 20.A rectangular field is 21 m long and 12 m wide. What is its area (in sq m)?
- 21.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 22.A park is 28 m long and 14 m wide. Fencing costs ₹27 per metre. What does it cost to fence the park all round (in ₹)?
- 23.A triangle has a base of 22 cm and a height of 10 cm. What is its area (in sq cm)?
- 24.A park is 11 m long and 6 m wide. Fencing costs ₹32 per metre. What does it cost to fence the park all round (in ₹)?
- 25.A triangle has a base of 19 cm and a height of 8 cm. What is its area (in sq cm)?
- 26.A garden is 13 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)?
- 27.A rectangular field is 34 m long and 7 m wide. What is its area (in sq m)?
- 28.A park is 38 m long and 12 m wide. Fencing costs ₹10 per metre. What does it cost to fence the park all round (in ₹)?
- 29.The perimeter of a square is 84 cm. What is its area (in sq cm)?
- 30.A park is 22 m long and 7 m wide. Fencing costs ₹17 per metre. What does it cost to fence the park all round (in ₹)?
- 31.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its perimeter (in cm)?
- 32.A rectangular field is 29 m long and 12 m wide. What is its area (in sq m)?
- 33.The perimeter of a square is 36 cm. What is its area (in sq cm)?
- 34.A garden is 21 m long and 13 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 35.A rectangular field is 13 m long and 12 m wide. What is its area (in sq m)?
- 36.A garden is 39 m long and 34 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 37.The perimeter of a square is 80 cm. What is its area (in sq cm)?
- 38.A triangle has a base of 11 cm and a height of 16 cm. What is its area (in sq cm)?
- 39.A park is 12 m long and 5 m wide. Fencing costs ₹31 per metre. What does it cost to fence the park all round (in ₹)?
- 40.A park is 14 m long and 13 m wide. Fencing costs ₹16 per metre. What does it cost to fence the park all round (in ₹)?
Answer key
- 870
- 1386
- 616
- 39
- 140
- 841
- 132
- 70
- 26
- 64
- 144
- 270
- 338
- 289
- 154
- 112
- 264
- 88
- 220
- 252
- 2464
- 2268
- 110
- 1088
- 76
- 50
- 238
- 1000
- 441
- 986
- 50
- 348
- 81
- 72
- 156
- 308
- 400
- 88
- 1054
- 864
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