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 105 sq cm and a length of 35 cm. What is its perimeter (in cm)?
- 2.A park is 18 m long and 7 m wide. Fencing costs ₹39 per metre. What does it cost to fence the park all round (in ₹)?
- 3.A triangle has a base of 21 cm and a height of 12 cm. What is its area (in sq cm)?
- 4.A rectangular field is 17 m long and 14 m wide. What is its area (in sq m)?
- 5.A rectangular field is 17 m long and 6 m wide. What is its area (in sq m)?
- 6.A rectangular field is 34 m long and 20 m wide. What is its area (in sq m)?
- 7.A rectangular field is 9 m long and 7 m wide. What is its area (in sq m)?
- 8.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 9.A park is 20 m long and 10 m wide. Fencing costs ₹5 per metre. What does it cost to fence the park all round (in ₹)?
- 10.A garden is 11 m long and 6 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 31 m long and 25 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 140 sq cm and a length of 20 cm. What is its perimeter (in cm)?
- 13.A triangle has a base of 26 cm and a height of 13 cm. What is its area (in sq cm)?
- 14.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 15.A triangle has a base of 17 cm and a height of 18 cm. What is its area (in sq cm)?
- 16.A park is 21 m long and 17 m wide. Fencing costs ₹14 per metre. What does it cost to fence the park all round (in ₹)?
- 17.A park is 13 m long and 5 m wide. Fencing costs ₹35 per metre. What does it cost to fence the park all round (in ₹)?
- 18.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
- 19.The perimeter of a square is 28 cm. What is its area (in sq cm)?
- 20.A rectangle has an area of 816 sq cm and a length of 34 cm. What is its perimeter (in cm)?
- 21.A triangle has a base of 30 cm and a height of 4 cm. What is its area (in sq cm)?
- 22.A triangle has a base of 29 cm and a height of 4 cm. What is its area (in sq cm)?
- 23.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
- 24.A park is 47 m long and 18 m wide. Fencing costs ₹38 per metre. What does it cost to fence the park all round (in ₹)?
- 25.A rectangular field is 13 m long and 6 m wide. What is its area (in sq m)?
- 26.A park is 13 m long and 9 m wide. Fencing costs ₹7 per metre. What does it cost to fence the park all round (in ₹)?
- 27.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its perimeter (in cm)?
- 28.A garden is 38 m long and 33 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 29.A garden is 12 m long and 6 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 30.A park is 19 m long and 8 m wide. Fencing costs ₹15 per metre. What does it cost to fence the park all round (in ₹)?
- 31.A park is 30 m long and 5 m wide. Fencing costs ₹13 per metre. What does it cost to fence the park all round (in ₹)?
- 32.A park is 58 m long and 20 m wide. Fencing costs ₹36 per metre. What does it cost to fence the park all round (in ₹)?
- 33.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 34.A rectangular field is 21 m long and 11 m wide. What is its area (in sq m)?
- 35.A rectangle has an area of 414 sq cm and a length of 23 cm. What is its perimeter (in cm)?
- 36.The perimeter of a square is 32 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 triangle has a base of 22 cm and a height of 10 cm. What is its area (in sq cm)?
- 39.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 40.A garden is 12 m long and 11 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
Answer key
- 76
- 1950
- 126
- 238
- 102
- 680
- 63
- 616
- 300
- 38
- 240
- 54
- 169
- 264
- 153
- 1064
- 1260
- 44
- 49
- 116
- 60
- 58
- 176
- 4940
- 78
- 308
- 22
- 300
- 40
- 810
- 910
- 5616
- 88
- 231
- 82
- 64
- 264
- 110
- 44
- 174
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