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 7 cm (take π = 22/7; answer in sq cm).
- 2.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 3.A triangle has a base of 12 cm and a height of 14 cm. What is its area (in sq cm)?
- 4.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 5.A rectangle has an area of 368 sq cm and a length of 23 cm. What is its perimeter (in cm)?
- 6.The perimeter of a square is 100 cm. What is its area (in sq cm)?
- 7.A garden is 39 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)?
- 8.A rectangle has an area of 243 sq cm and a length of 27 cm. What is its perimeter (in cm)?
- 9.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 10.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
- 11.A park is 41 m long and 11 m wide. Fencing costs ₹7 per metre. What does it cost to fence the park all round (in ₹)?
- 12.A park is 56 m long and 8 m wide. Fencing costs ₹28 per metre. What does it cost to fence the park all round (in ₹)?
- 13.A rectangular field is 8 m long and 4 m wide. What is its area (in sq m)?
- 14.A rectangular field is 23 m long and 6 m wide. What is its area (in sq m)?
- 15.The perimeter of a square is 104 cm. What is its area (in sq cm)?
- 16.A garden is 36 m long and 32 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 17.A garden is 34 m long and 30 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 18.A rectangle has an area of 736 sq cm and a length of 32 cm. What is its perimeter (in cm)?
- 19.A round wheel has a radius of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 20.A triangle has a base of 8 cm and a height of 3 cm. What is its area (in sq cm)?
- 21.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 22.A rectangular field is 19 m long and 5 m wide. What is its area (in sq m)?
- 23.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
- 24.A park is 21 m long and 11 m wide. Fencing costs ₹27 per metre. What does it cost to fence the park all round (in ₹)?
- 25.A rectangular field is 10 m long and 8 m wide. What is its area (in sq m)?
- 26.A garden is 13 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)?
- 27.A garden is 29 m long and 11 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 28.A park is 46 m long and 39 m wide. Fencing costs ₹35 per metre. What does it cost to fence the park all round (in ₹)?
- 29.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its perimeter (in cm)?
- 30.A garden is 36 m long and 35 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 31.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its perimeter (in cm)?
- 32.A park is 31 m long and 14 m wide. Fencing costs ₹26 per metre. What does it cost to fence the park all round (in ₹)?
- 33.A rectangular field is 10 m long and 3 m wide. What is its area (in sq m)?
- 34.A rectangle has an area of 220 sq cm and a length of 22 cm. What is its perimeter (in cm)?
- 35.A park is 42 m long and 25 m wide. Fencing costs ₹39 per metre. What does it cost to fence the park all round (in ₹)?
- 36.A triangle has a base of 28 cm and a height of 3 cm. What is its area (in sq cm)?
- 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 20 cm. What is its area (in sq cm)?
- 39.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its perimeter (in cm)?
- 40.A triangle has a base of 30 cm and a height of 14 cm. What is its area (in sq cm)?
Answer key
- 154
- 616
- 84
- 132
- 78
- 625
- 396
- 72
- 44
- 220
- 728
- 3584
- 32
- 138
- 676
- 288
- 132
- 110
- 176
- 12
- 2464
- 95
- 44
- 1728
- 80
- 40
- 176
- 5950
- 16
- 462
- 50
- 2340
- 30
- 64
- 5226
- 42
- 88
- 25
- 44
- 210
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