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.The perimeter of a square is 92 cm. What is its area (in sq cm)?
- 2.A park is 54 m long and 40 m wide. Fencing costs ₹17 per metre. What does it cost to fence the park all round (in ₹)?
- 3.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 4.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
- 5.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
- 6.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 7.A rectangular field is 8 m long and 3 m wide. What is its area (in sq m)?
- 8.The perimeter of a square is 24 cm. What is its area (in sq cm)?
- 9.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 10.A garden is 35 m long and 9 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 11.A park is 42 m long and 22 m wide. Fencing costs ₹32 per metre. What does it cost to fence the park all round (in ₹)?
- 12.A rectangle has an area of 504 sq cm and a length of 36 cm. What is its perimeter (in cm)?
- 13.A park is 46 m long and 29 m wide. Fencing costs ₹16 per metre. What does it cost to fence the park all round (in ₹)?
- 14.A garden is 13 m long and 11 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 15.A rectangular field is 24 m long and 5 m wide. What is its area (in sq m)?
- 16.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 17.A rectangular field is 18 m long and 3 m wide. What is its area (in sq m)?
- 18.A triangle has a base of 12 cm and a height of 9 cm. What is its area (in sq cm)?
- 19.A rectangle has an area of 247 sq cm and a length of 19 cm. What is its perimeter (in cm)?
- 20.The perimeter of a square is 20 cm. What is its area (in sq cm)?
- 21.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 22.A park is 47 m long and 35 m wide. Fencing costs ₹13 per metre. What does it cost to fence the park all round (in ₹)?
- 23.A rectangular field is 30 m long and 9 m wide. What is its area (in sq m)?
- 24.The perimeter of a square is 112 cm. What is its area (in sq cm)?
- 25.A triangle has a base of 28 cm and a height of 12 cm. What is its area (in sq cm)?
- 26.A rectangle has an area of 297 sq cm and a length of 27 cm. What is its perimeter (in cm)?
- 27.A park is 17 m long and 6 m wide. Fencing costs ₹12 per metre. What does it cost to fence the park all round (in ₹)?
- 28.A park is 16 m long and 8 m wide. Fencing costs ₹14 per metre. What does it cost to fence the park all round (in ₹)?
- 29.A park is 46 m long and 28 m wide. Fencing costs ₹9 per metre. What does it cost to fence the park all round (in ₹)?
- 30.The perimeter of a square is 56 cm. What is its area (in sq cm)?
- 31.A triangle has a base of 19 cm and a height of 20 cm. What is its area (in sq cm)?
- 32.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 33.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its perimeter (in cm)?
- 34.A triangle has a base of 6 cm and a height of 13 cm. What is its area (in sq cm)?
- 35.A garden is 24 m long and 20 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 36.A garden is 32 m long and 13 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 37.A rectangle has an area of 572 sq cm and a length of 26 cm. What is its perimeter (in cm)?
- 38.A triangle has a base of 22 cm and a height of 25 cm. What is its area (in sq cm)?
- 39.A garden is 31 m long and 15 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 40.A rectangle has an area of 378 sq cm and a length of 27 cm. What is its perimeter (in cm)?
Answer key
- 529
- 3196
- 88
- 176
- 264
- 132
- 24
- 36
- 2464
- 92
- 4096
- 100
- 2400
- 52
- 120
- 1386
- 54
- 54
- 64
- 25
- 616
- 2132
- 270
- 784
- 168
- 76
- 552
- 672
- 1332
- 196
- 190
- 88
- 48
- 39
- 92
- 196
- 96
- 275
- 200
- 82
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