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 garden is 15 m long and 6 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 2.The perimeter of a square is 64 cm. What is its area (in sq cm)?
- 3.A garden is 17 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)?
- 4.A rectangular field is 11 m long and 6 m wide. What is its area (in sq m)?
- 5.A rectangle has an area of 114 sq cm and a length of 38 cm. What is its perimeter (in cm)?
- 6.A garden is 18 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)?
- 7.A rectangular field is 21 m long and 10 m wide. What is its area (in sq m)?
- 8.A park is 42 m long and 24 m wide. Fencing costs ₹35 per metre. What does it cost to fence the park all round (in ₹)?
- 9.A garden is 37 m long and 31 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 10.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 11.The perimeter of a square is 12 cm. What is its area (in sq cm)?
- 12.A rectangular field is 30 m long and 12 m wide. What is its area (in sq m)?
- 13.A rectangular field is 15 m long and 13 m wide. What is its area (in sq m)?
- 14.A rectangular field is 33 m long and 14 m wide. What is its area (in sq m)?
- 15.A garden is 21 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)?
- 16.A park is 48 m long and 15 m wide. Fencing costs ₹17 per metre. What does it cost to fence the park all round (in ₹)?
- 17.A rectangular field is 5 m long and 3 m wide. What is its area (in sq m)?
- 18.A garden is 38 m long and 26 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 19.A triangle has a base of 16 cm and a height of 10 cm. What is its area (in sq cm)?
- 20.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
- 21.A garden is 34 m long and 26 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 22.The perimeter of a square is 80 cm. What is its area (in sq cm)?
- 23.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 24.A triangle has a base of 7 cm and a height of 16 cm. What is its area (in sq cm)?
- 25.A rectangle has an area of 320 sq cm and a length of 20 cm. What is its perimeter (in cm)?
- 26.A park is 39 m long and 33 m wide. Fencing costs ₹25 per metre. What does it cost to fence the park all round (in ₹)?
- 27.A garden is 19 m long and 14 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 28.A rectangular field is 18 m long and 6 m wide. What is its area (in sq m)?
- 29.A park is 23 m long and 21 m wide. Fencing costs ₹26 per metre. What does it cost to fence the park all round (in ₹)?
- 30.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 31.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its perimeter (in cm)?
- 32.A triangle has a base of 20 cm and a height of 6 cm. What is its area (in sq cm)?
- 33.A rectangular field is 37 m long and 3 m wide. What is its area (in sq m)?
- 34.A rectangular field is 29 m long and 4 m wide. What is its area (in sq m)?
- 35.A triangle has a base of 29 cm and a height of 12 cm. What is its area (in sq cm)?
- 36.A park is 44 m long and 28 m wide. Fencing costs ₹12 per metre. What does it cost to fence the park all round (in ₹)?
- 37.A triangle has a base of 20 cm and a height of 3 cm. What is its area (in sq cm)?
- 38.A triangle has a base of 29 cm and a height of 22 cm. What is its area (in sq cm)?
- 39.A park is 28 m long and 27 m wide. Fencing costs ₹28 per metre. What does it cost to fence the park all round (in ₹)?
- 40.A rectangular field is 14 m long and 6 m wide. What is its area (in sq m)?
Answer key
- 100
- 256
- 104
- 66
- 82
- 108
- 210
- 4620
- 140
- 616
- 9
- 360
- 195
- 462
- 70
- 2142
- 15
- 272
- 80
- 220
- 124
- 400
- 1386
- 56
- 72
- 3600
- 70
- 108
- 2288
- 154
- 26
- 60
- 111
- 116
- 174
- 1728
- 30
- 319
- 3080
- 84
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