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 24 sq cm and a length of 6 cm. What is its perimeter (in cm)?
- 2.A garden is 12 m long and 9 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 3.A garden is 15 m long and 14 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 4.A rectangle has an area of 231 sq cm and a length of 33 cm. What is its perimeter (in cm)?
- 5.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 6.A rectangular field is 37 m long and 9 m wide. What is its area (in sq m)?
- 7.The perimeter of a square is 88 cm. What is its area (in sq cm)?
- 8.A garden is 15 m long and 5 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 9.A triangle has a base of 19 cm and a height of 6 cm. What is its area (in sq cm)?
- 10.A park is 29 m long and 17 m wide. Fencing costs ₹6 per metre. What does it cost to fence the park all round (in ₹)?
- 11.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 12.A triangle has a base of 6 cm and a height of 5 cm. What is its area (in sq cm)?
- 13.The perimeter of a square is 108 cm. What is its area (in sq cm)?
- 14.A garden is 10 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)?
- 15.A triangle has a base of 4 cm and a height of 8 cm. What is its area (in sq cm)?
- 16.A rectangular field is 5 m long and 3 m wide. What is its area (in sq m)?
- 17.A park is 60 m long and 10 m wide. Fencing costs ₹14 per metre. What does it cost to fence the park all round (in ₹)?
- 18.A garden is 24 m long and 7 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 19.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 20.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 21.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
- 22.A rectangular field is 24 m long and 16 m wide. What is its area (in sq m)?
- 23.The perimeter of a square is 12 cm. What is its area (in sq cm)?
- 24.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 25.A park is 27 m long and 16 m wide. Fencing costs ₹17 per metre. What does it cost to fence the park all round (in ₹)?
- 26.A triangle has a base of 7 cm and a height of 12 cm. What is its area (in sq cm)?
- 27.A triangle has a base of 4 cm and a height of 21 cm. What is its area (in sq cm)?
- 28.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
- 29.A triangle has a base of 11 cm and a height of 20 cm. What is its area (in sq cm)?
- 30.A park is 25 m long and 12 m wide. Fencing costs ₹15 per metre. What does it cost to fence the park all round (in ₹)?
- 31.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
- 32.A rectangular field is 15 m long and 12 m wide. What is its area (in sq m)?
- 33.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its perimeter (in cm)?
- 34.A park is 53 m long and 50 m wide. Fencing costs ₹26 per metre. What does it cost to fence the park all round (in ₹)?
- 35.A park is 57 m long and 52 m wide. Fencing costs ₹13 per metre. What does it cost to fence the park all round (in ₹)?
- 36.A garden is 31 m long and 18 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 37.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 38.The perimeter of a square is 40 cm. What is its area (in sq cm)?
- 39.A rectangular field is 39 m long and 27 m wide. What is its area (in sq m)?
- 40.A rectangular field is 24 m long and 13 m wide. What is its area (in sq m)?
Answer key
- 20
- 100
- 132
- 80
- 88
- 333
- 484
- 44
- 57
- 552
- 2464
- 15
- 729
- 76
- 16
- 15
- 1960
- 222
- 616
- 264
- 44
- 384
- 9
- 154
- 1462
- 42
- 42
- 220
- 110
- 1110
- 176
- 180
- 22
- 5356
- 2834
- 102
- 88
- 100
- 1053
- 312
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