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 20 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)?
- 2.A garden is 13 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.The perimeter of a square is 64 cm. What is its area (in sq cm)?
- 4.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its perimeter (in cm)?
- 5.A triangle has a base of 8 cm and a height of 24 cm. What is its area (in sq cm)?
- 6.A garden is 11 m long and 8 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 7.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
- 8.A garden is 25 m long and 23 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 10 cm and a height of 21 cm. What is its area (in sq cm)?
- 10.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 11.The perimeter of a square is 44 cm. What is its area (in sq cm)?
- 12.A garden is 16 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)?
- 13.A park is 58 m long and 55 m wide. Fencing costs ₹36 per metre. What does it cost to fence the park all round (in ₹)?
- 14.The perimeter of a square is 88 cm. What is its area (in sq cm)?
- 15.A rectangular field is 6 m long and 5 m wide. What is its area (in sq m)?
- 16.The perimeter of a square is 104 cm. What is its area (in sq cm)?
- 17.A garden is 31 m long and 18 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 18.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 19.A rectangular field is 18 m long and 5 m wide. What is its area (in sq m)?
- 20.A rectangle has an area of 290 sq cm and a length of 29 cm. What is its perimeter (in cm)?
- 21.A park is 48 m long and 26 m wide. Fencing costs ₹13 per metre. What does it cost to fence the park all round (in ₹)?
- 22.A rectangle has an area of 648 sq cm and a length of 27 cm. What is its perimeter (in cm)?
- 23.A rectangular field is 36 m long and 27 m wide. What is its area (in sq m)?
- 24.A rectangle has an area of 999 sq cm and a length of 37 cm. What is its perimeter (in cm)?
- 25.A garden is 27 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)?
- 26.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its perimeter (in cm)?
- 27.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its perimeter (in cm)?
- 28.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 29.A garden is 36 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)?
- 30.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
- 31.A rectangle has an area of 646 sq cm and a length of 34 cm. What is its perimeter (in cm)?
- 32.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 33.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 34.A rectangle has an area of 195 sq cm and a length of 15 cm. What is its perimeter (in cm)?
- 35.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 36.A garden is 13 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)?
- 37.A rectangle has an area of 928 sq cm and a length of 32 cm. What is its perimeter (in cm)?
- 38.A rectangular field is 33 m long and 9 m wide. What is its area (in sq m)?
- 39.The perimeter of a square is 52 cm. What is its area (in sq cm)?
- 40.A garden is 12 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)?
Answer key
- 222
- 104
- 256
- 38
- 96
- 42
- 44
- 100
- 105
- 2464
- 121
- 180
- 8136
- 484
- 30
- 676
- 330
- 88
- 90
- 78
- 1924
- 102
- 972
- 128
- 84
- 22
- 56
- 154
- 100
- 220
- 106
- 264
- 44
- 56
- 1386
- 180
- 122
- 297
- 169
- 84
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