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 24 cm. What is its area (in sq cm)?
- 2.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 3.A triangle has a base of 30 cm and a height of 9 cm. What is its area (in sq cm)?
- 4.A rectangular field is 6 m long and 5 m wide. What is its area (in sq m)?
- 5.A rectangular field is 15 m long and 8 m wide. What is its area (in sq m)?
- 6.A rectangular field is 28 m long and 7 m wide. What is its area (in sq m)?
- 7.A park is 27 m long and 10 m wide. Fencing costs ₹28 per metre. What does it cost to fence the park all round (in ₹)?
- 8.A triangle has a base of 20 cm and a height of 5 cm. What is its area (in sq cm)?
- 9.A park is 10 m long and 9 m wide. Fencing costs ₹22 per metre. What does it cost to fence the park all round (in ₹)?
- 10.A rectangular field is 31 m long and 22 m wide. What is its area (in sq m)?
- 11.A rectangular field is 13 m long and 7 m wide. What is its area (in sq m)?
- 12.A triangle has a base of 27 cm and a height of 24 cm. What is its area (in sq cm)?
- 13.A park is 55 m long and 36 m wide. Fencing costs ₹30 per metre. What does it cost to fence the park all round (in ₹)?
- 14.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its perimeter (in cm)?
- 15.A triangle has a base of 6 cm and a height of 4 cm. What is its area (in sq cm)?
- 16.A garden is 20 m long and 5 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 17.A rectangular field is 30 m long and 24 m wide. What is its area (in sq m)?
- 18.A garden is 19 m long and 12 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 19.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
- 20.A round wheel has a radius of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 21.A rectangular field is 36 m long and 18 m wide. What is its area (in sq m)?
- 22.A garden is 38 m long and 30 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 23.A park is 25 m long and 24 m wide. Fencing costs ₹31 per metre. What does it cost to fence the park all round (in ₹)?
- 24.A garden is 31 m long and 8 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 25.A triangle has a base of 27 cm and a height of 4 cm. What is its area (in sq cm)?
- 26.A rectangle has an area of 588 sq cm and a length of 28 cm. What is its perimeter (in cm)?
- 27.A park is 15 m long and 13 m wide. Fencing costs ₹19 per metre. What does it cost to fence the park all round (in ₹)?
- 28.A garden is 15 m long and 11 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 29.The perimeter of a square is 120 cm. What is its area (in sq cm)?
- 30.A park is 14 m long and 6 m wide. Fencing costs ₹6 per metre. What does it cost to fence the park all round (in ₹)?
- 31.A rectangle has an area of 308 sq cm and a length of 28 cm. What is its perimeter (in cm)?
- 32.The perimeter of a square is 40 cm. What is its area (in sq cm)?
- 33.A rectangular field is 37 m long and 14 m wide. What is its area (in sq m)?
- 34.The perimeter of a square is 20 cm. What is its area (in sq cm)?
- 35.A rectangle has an area of 500 sq cm and a length of 25 cm. What is its perimeter (in cm)?
- 36.A garden is 15 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)?
- 37.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its perimeter (in cm)?
- 38.A round wheel has a radius of 14 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.A triangle has a base of 21 cm and a height of 14 cm. What is its area (in sq cm)?
Answer key
- 36
- 2464
- 135
- 30
- 120
- 196
- 2072
- 50
- 836
- 682
- 91
- 324
- 5460
- 38
- 12
- 116
- 720
- 222
- 44
- 176
- 648
- 444
- 3038
- 270
- 54
- 98
- 1064
- 120
- 900
- 240
- 78
- 100
- 518
- 25
- 90
- 52
- 18
- 88
- 9
- 147
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