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.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 2.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 3.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
- 4.A garden is 32 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)?
- 5.A triangle has a base of 21 cm and a height of 14 cm. What is its area (in sq cm)?
- 6.A garden is 26 m long and 24 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 7.The perimeter of a square is 104 cm. What is its area (in sq cm)?
- 8.A rectangle has an area of 96 sq cm and a length of 24 cm. What is its perimeter (in cm)?
- 9.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
- 10.A park is 32 m long and 5 m wide. Fencing costs ₹5 per metre. What does it cost to fence the park all round (in ₹)?
- 11.A rectangle has an area of 924 sq cm and a length of 33 cm. What is its perimeter (in cm)?
- 12.A park is 41 m long and 6 m wide. Fencing costs ₹21 per metre. What does it cost to fence the park all round (in ₹)?
- 13.The perimeter of a square is 32 cm. What is its area (in sq cm)?
- 14.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
- 15.A rectangle has an area of 84 sq cm and a length of 28 cm. What is its perimeter (in cm)?
- 16.A garden is 14 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)?
- 17.A park is 59 m long and 6 m wide. Fencing costs ₹9 per metre. What does it cost to fence the park all round (in ₹)?
- 18.A rectangle has an area of 374 sq cm and a length of 22 cm. What is its perimeter (in cm)?
- 19.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 20.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its perimeter (in cm)?
- 21.A garden is 30 m long and 21 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 22.A garden is 40 m long and 39 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 23.A rectangle has an area of 384 sq cm and a length of 24 cm. What is its perimeter (in cm)?
- 24.A park is 20 m long and 9 m wide. Fencing costs ₹10 per metre. What does it cost to fence the park all round (in ₹)?
- 25.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 26.A rectangle has an area of 900 sq cm and a length of 36 cm. What is its perimeter (in cm)?
- 27.A rectangle has an area of 672 sq cm and a length of 28 cm. What is its perimeter (in cm)?
- 28.A garden is 23 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)?
- 29.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its perimeter (in cm)?
- 30.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 31.The perimeter of a square is 116 cm. What is its area (in sq cm)?
- 32.A park is 47 m long and 8 m wide. Fencing costs ₹15 per metre. What does it cost to fence the park all round (in ₹)?
- 33.A park is 19 m long and 12 m wide. Fencing costs ₹29 per metre. What does it cost to fence the park all round (in ₹)?
- 34.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
- 35.A rectangle has an area of 888 sq cm and a length of 37 cm. What is its perimeter (in cm)?
- 36.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its perimeter (in cm)?
- 37.A garden is 37 m long and 32 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 38.A rectangular field is 8 m long and 3 m wide. What is its area (in sq m)?
- 39.A rectangle has an area of 1326 sq cm and a length of 39 cm. What is its perimeter (in cm)?
- 40.A triangle has a base of 18 cm and a height of 24 cm. What is its area (in sq cm)?
Answer key
- 1386
- 132
- 264
- 276
- 147
- 216
- 676
- 56
- 220
- 370
- 122
- 1974
- 64
- 132
- 62
- 112
- 1170
- 78
- 2464
- 22
- 342
- 510
- 80
- 580
- 154
- 122
- 104
- 222
- 24
- 264
- 841
- 1650
- 1798
- 220
- 122
- 42
- 142
- 24
- 146
- 216
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