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 triangle has a base of 22 cm and a height of 9 cm. What is its area (in sq cm)?
- 2.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 3.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 4.The perimeter of a square is 108 cm. What is its area (in sq cm)?
- 5.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 6.A garden is 39 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)?
- 7.A park is 10 m long and 5 m wide. Fencing costs ₹20 per metre. What does it cost to fence the park all round (in ₹)?
- 8.A rectangular field is 26 m long and 17 m wide. What is its area (in sq m)?
- 9.A round wheel has a radius of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 10.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its perimeter (in cm)?
- 11.The perimeter of a square is 80 cm. What is its area (in sq cm)?
- 12.A garden is 20 m long and 11 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 13.A park is 56 m long and 37 m wide. Fencing costs ₹10 per metre. What does it cost to fence the park all round (in ₹)?
- 14.A park is 29 m long and 7 m wide. Fencing costs ₹9 per metre. What does it cost to fence the park all round (in ₹)?
- 15.A park is 54 m long and 36 m wide. Fencing costs ₹17 per metre. What does it cost to fence the park all round (in ₹)?
- 16.The perimeter of a square is 48 cm. What is its area (in sq cm)?
- 17.A rectangular field is 14 m long and 7 m wide. What is its area (in sq m)?
- 18.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
- 19.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 20.A garden is 30 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)?
- 21.A rectangular field is 33 m long and 4 m wide. What is its area (in sq m)?
- 22.A rectangle has an area of 350 sq cm and a length of 25 cm. What is its perimeter (in cm)?
- 23.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 24.A rectangular field is 6 m long and 5 m wide. What is its area (in sq m)?
- 25.A garden is 10 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)?
- 26.A rectangular field is 20 m long and 12 m wide. What is its area (in sq m)?
- 27.A rectangular field is 10 m long and 6 m wide. What is its area (in sq m)?
- 28.The perimeter of a square is 104 cm. What is its area (in sq cm)?
- 29.A rectangle has an area of 208 sq cm and a length of 16 cm. What is its perimeter (in cm)?
- 30.A garden is 39 m long and 27 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 31.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 32.A triangle has a base of 18 cm and a height of 21 cm. What is its area (in sq cm)?
- 33.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 34.A garden is 12 m long and 11 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 35.A rectangular field is 24 m long and 22 m wide. What is its area (in sq m)?
- 36.A garden is 28 m long and 23 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 37.A garden is 30 m long and 21 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 38.A park is 32 m long and 5 m wide. Fencing costs ₹17 per metre. What does it cost to fence the park all round (in ₹)?
- 39.The perimeter of a square is 68 cm. What is its area (in sq cm)?
- 40.A rectangular field is 14 m long and 8 m wide. What is its area (in sq m)?
Answer key
- 99
- 154
- 1386
- 729
- 88
- 336
- 600
- 442
- 176
- 26
- 400
- 66
- 1860
- 648
- 3060
- 144
- 98
- 220
- 88
- 232
- 132
- 78
- 44
- 30
- 34
- 240
- 60
- 676
- 58
- 432
- 2464
- 189
- 616
- 50
- 528
- 220
- 220
- 1258
- 289
- 112
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