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 28 cm (take π = 22/7; answer in sq cm).
- 2.A triangle has a base of 22 cm and a height of 3 cm. What is its area (in sq cm)?
- 3.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 4.A rectangular field is 39 m long and 10 m wide. What is its area (in sq m)?
- 5.A rectangular field is 30 m long and 4 m wide. What is its area (in sq m)?
- 6.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 7.A garden is 20 m long and 19 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 8.A triangle has a base of 25 cm and a height of 10 cm. What is its area (in sq cm)?
- 9.A park is 51 m long and 7 m wide. Fencing costs ₹19 per metre. What does it cost to fence the park all round (in ₹)?
- 10.A park is 42 m long and 5 m wide. Fencing costs ₹19 per metre. What does it cost to fence the park all round (in ₹)?
- 11.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 12.A rectangle has an area of 60 sq cm and a length of 10 cm. What is its perimeter (in cm)?
- 13.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its perimeter (in cm)?
- 14.The perimeter of a square is 20 cm. What is its area (in sq cm)?
- 15.The perimeter of a square is 60 cm. What is its area (in sq cm)?
- 16.A park is 32 m long and 23 m wide. Fencing costs ₹37 per metre. What does it cost to fence the park all round (in ₹)?
- 17.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its perimeter (in cm)?
- 18.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 19.A garden is 13 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)?
- 20.A rectangular field is 13 m long and 7 m wide. What is its area (in sq m)?
- 21.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its perimeter (in cm)?
- 22.A rectangular field is 15 m long and 6 m wide. What is its area (in sq m)?
- 23.A rectangular field is 17 m long and 4 m wide. What is its area (in sq m)?
- 24.The perimeter of a square is 96 cm. What is its area (in sq cm)?
- 25.A triangle has a base of 28 cm and a height of 19 cm. What is its area (in sq cm)?
- 26.A rectangular field is 38 m long and 22 m wide. What is its area (in sq m)?
- 27.A triangle has a base of 30 cm and a height of 3 cm. What is its area (in sq cm)?
- 28.A rectangular field is 31 m long and 29 m wide. What is its area (in sq m)?
- 29.A rectangle has an area of 222 sq cm and a length of 37 cm. What is its perimeter (in cm)?
- 30.The perimeter of a square is 72 cm. What is its area (in sq cm)?
- 31.A park is 45 m long and 30 m wide. Fencing costs ₹27 per metre. What does it cost to fence the park all round (in ₹)?
- 32.The perimeter of a square is 12 cm. What is its area (in sq cm)?
- 33.A rectangle has an area of 608 sq cm and a length of 38 cm. What is its perimeter (in cm)?
- 34.A garden is 17 m long and 16 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 35.A rectangle has an area of 507 sq cm and a length of 39 cm. What is its perimeter (in cm)?
- 36.A park is 19 m long and 12 m wide. Fencing costs ₹5 per metre. What does it cost to fence the park all round (in ₹)?
- 37.A garden is 23 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)?
- 38.A rectangle has an area of 351 sq cm and a length of 27 cm. What is its perimeter (in cm)?
- 39.A rectangular field is 32 m long and 20 m wide. What is its area (in sq m)?
- 40.A triangle has a base of 22 cm and a height of 25 cm. What is its area (in sq cm)?
Answer key
- 2464
- 33
- 1386
- 390
- 120
- 88
- 172
- 125
- 2204
- 1786
- 616
- 32
- 42
- 25
- 225
- 4070
- 18
- 44
- 162
- 91
- 16
- 90
- 68
- 576
- 266
- 836
- 45
- 899
- 86
- 324
- 4050
- 9
- 108
- 234
- 104
- 310
- 216
- 80
- 640
- 275
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