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 park is 37 m long and 28 m wide. Fencing costs ₹30 per metre. What does it cost to fence the park all round (in ₹)?
- 2.A park is 42 m long and 17 m wide. Fencing costs ₹6 per metre. What does it cost to fence the park all round (in ₹)?
- 3.A park is 49 m long and 17 m wide. Fencing costs ₹12 per metre. What does it cost to fence the park all round (in ₹)?
- 4.A garden is 12 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)?
- 5.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
- 6.A rectangular field is 10 m long and 3 m wide. What is its area (in sq m)?
- 7.A rectangular field is 10 m long and 7 m wide. What is its area (in sq m)?
- 8.A garden is 38 m long and 20 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 9.The perimeter of a square is 76 cm. What is its area (in sq cm)?
- 10.The perimeter of a square is 52 cm. What is its area (in sq cm)?
- 11.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 12.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 13.A garden is 11 m long and 10 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 14.The perimeter of a square is 100 cm. What is its area (in sq cm)?
- 15.A park is 32 m long and 8 m wide. Fencing costs ₹26 per metre. What does it cost to fence the park all round (in ₹)?
- 16.A rectangular field is 20 m long and 19 m wide. What is its area (in sq m)?
- 17.A garden is 40 m long and 12 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 18.A rectangular field is 21 m long and 18 m wide. What is its area (in sq m)?
- 19.A triangle has a base of 24 cm and a height of 23 cm. What is its area (in sq cm)?
- 20.A rectangle has an area of 518 sq cm and a length of 37 cm. What is its perimeter (in cm)?
- 21.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 22.A park is 23 m long and 7 m wide. Fencing costs ₹13 per metre. What does it cost to fence the park all round (in ₹)?
- 23.A rectangular field is 31 m long and 3 m wide. What is its area (in sq m)?
- 24.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 25.A triangle has a base of 15 cm and a height of 14 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 park is 35 m long and 17 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 13 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 29.A park is 32 m long and 16 m wide. Fencing costs ₹35 per metre. What does it cost to fence the park all round (in ₹)?
- 30.A rectangular field is 24 m long and 3 m wide. What is its area (in sq m)?
- 31.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
- 32.The perimeter of a square is 108 cm. What is its area (in sq cm)?
- 33.A garden is 30 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)?
- 34.A rectangle has an area of 1221 sq cm and a length of 37 cm. What is its perimeter (in cm)?
- 35.A rectangular field is 5 m long and 3 m wide. What is its area (in sq m)?
- 36.A garden is 40 m long and 32 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 37.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its perimeter (in cm)?
- 38.A rectangular field is 12 m long and 7 m wide. What is its area (in sq m)?
- 39.A triangle has a base of 18 cm and a height of 24 cm. What is its area (in sq cm)?
- 40.A rectangular field is 26 m long and 15 m wide. What is its area (in sq m)?
Answer key
- 3900
- 708
- 1584
- 92
- 264
- 30
- 70
- 384
- 361
- 169
- 2464
- 132
- 100
- 625
- 2080
- 380
- 108
- 378
- 276
- 102
- 616
- 780
- 93
- 44
- 105
- 154
- 1976
- 60
- 3360
- 72
- 220
- 729
- 188
- 140
- 15
- 468
- 50
- 84
- 216
- 390
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