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 rectangle has an area of 21 sq cm and a length of 7 cm. What is its perimeter (in cm)?
- 2.The perimeter of a square is 24 cm. What is its area (in sq cm)?
- 3.A rectangle has an area of 378 sq cm and a length of 21 cm. What is its perimeter (in cm)?
- 4.The perimeter of a square is 36 cm. What is its area (in sq cm)?
- 5.A triangle has a base of 18 cm and a height of 18 cm. What is its area (in sq cm)?
- 6.A park is 55 m long and 33 m wide. Fencing costs ₹28 per metre. What does it cost to fence the park all round (in ₹)?
- 7.A park is 60 m long and 33 m wide. Fencing costs ₹7 per metre. What does it cost to fence the park all round (in ₹)?
- 8.A rectangle has an area of 294 sq cm and a length of 21 cm. What is its perimeter (in cm)?
- 9.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 10.A garden is 19 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 garden is 10 m long and 7 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 12.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its perimeter (in cm)?
- 13.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 14.A park is 13 m long and 11 m wide. Fencing costs ₹26 per metre. What does it cost to fence the park all round (in ₹)?
- 15.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 16.The perimeter of a square is 72 cm. What is its area (in sq cm)?
- 17.A rectangular field is 18 m long and 6 m wide. What is its area (in sq m)?
- 18.The perimeter of a square is 20 cm. What is its area (in sq cm)?
- 19.A triangle has a base of 19 cm and a height of 22 cm. What is its area (in sq cm)?
- 20.A park is 52 m long and 16 m wide. Fencing costs ₹32 per metre. What does it cost to fence the park all round (in ₹)?
- 21.A park is 60 m long and 13 m wide. Fencing costs ₹24 per metre. What does it cost to fence the park all round (in ₹)?
- 22.A rectangular field is 17 m long and 8 m wide. What is its area (in sq m)?
- 23.The perimeter of a square is 52 cm. What is its area (in sq cm)?
- 24.A rectangle has an area of 475 sq cm and a length of 25 cm. What is its perimeter (in cm)?
- 25.The perimeter of a square is 96 cm. What is its area (in sq cm)?
- 26.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 27.A garden is 11 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)?
- 28.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 29.A rectangular field is 5 m long and 4 m wide. What is its area (in sq m)?
- 30.The perimeter of a square is 104 cm. What is its area (in sq cm)?
- 31.A park is 39 m long and 29 m wide. Fencing costs ₹10 per metre. What does it cost to fence the park all round (in ₹)?
- 32.A triangle has a base of 29 cm and a height of 8 cm. What is its area (in sq cm)?
- 33.A rectangular field is 24 m long and 23 m wide. What is its area (in sq m)?
- 34.A triangle has a base of 4 cm and a height of 9 cm. What is its area (in sq cm)?
- 35.A triangle has a base of 22 cm and a height of 8 cm. What is its area (in sq cm)?
- 36.A triangle has a base of 17 cm and a height of 6 cm. What is its area (in sq cm)?
- 37.A garden is 10 m long and 5 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 38.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
- 39.The perimeter of a square is 12 cm. What is its area (in sq cm)?
- 40.The perimeter of a square is 92 cm. What is its area (in sq cm)?
Answer key
- 20
- 36
- 78
- 81
- 162
- 4928
- 1302
- 70
- 2464
- 60
- 84
- 36
- 1386
- 1248
- 264
- 324
- 108
- 25
- 209
- 4352
- 3504
- 136
- 169
- 88
- 576
- 154
- 40
- 88
- 20
- 676
- 1360
- 116
- 552
- 18
- 88
- 51
- 126
- 176
- 9
- 529
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