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 10 cm and a height of 6 cm. What is its area (in sq cm)?
- 2.A rectangle has an area of 48 sq cm and a length of 12 cm. What is its perimeter (in cm)?
- 3.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 4.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 5.A garden is 14 m long and 13 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 6.A rectangle has an area of 572 sq cm and a length of 26 cm. What is its perimeter (in cm)?
- 7.A garden is 24 m long and 22 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 21 cm and a height of 18 cm. What is its area (in sq cm)?
- 9.A rectangle has an area of 75 sq cm and a length of 15 cm. What is its perimeter (in cm)?
- 10.A rectangular field is 38 m long and 29 m wide. What is its area (in sq m)?
- 11.The perimeter of a square is 64 cm. What is its area (in sq cm)?
- 12.A rectangular field is 27 m long and 17 m wide. What is its area (in sq m)?
- 13.A garden is 28 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)?
- 14.A garden is 12 m long and 9 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 15.A rectangular field is 10 m long and 3 m wide. What is its area (in sq m)?
- 16.The perimeter of a square is 100 cm. What is its area (in sq cm)?
- 17.A garden is 30 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)?
- 18.A rectangle has an area of 243 sq cm and a length of 27 cm. What is its perimeter (in cm)?
- 19.A garden is 27 m long and 20 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 20.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
- 21.A rectangular field is 31 m long and 10 m wide. What is its area (in sq m)?
- 22.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 23.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
- 24.A rectangle has an area of 27 sq cm and a length of 9 cm. What is its perimeter (in cm)?
- 25.A rectangle has an area of 725 sq cm and a length of 29 cm. What is its perimeter (in cm)?
- 26.A park is 48 m long and 41 m wide. Fencing costs ₹15 per metre. What does it cost to fence the park all round (in ₹)?
- 27.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its perimeter (in cm)?
- 28.The perimeter of a square is 76 cm. What is its area (in sq cm)?
- 29.A garden is 29 m long and 12 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 30.A garden is 28 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)?
- 31.A triangle has a base of 24 cm and a height of 10 cm. What is its area (in sq cm)?
- 32.A rectangle has an area of 207 sq cm and a length of 23 cm. What is its perimeter (in cm)?
- 33.A rectangle has an area of 555 sq cm and a length of 37 cm. What is its perimeter (in cm)?
- 34.A rectangular field is 16 m long and 11 m wide. What is its area (in sq m)?
- 35.The perimeter of a square is 104 cm. What is its area (in sq cm)?
- 36.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 37.A rectangle has an area of 351 sq cm and a length of 39 cm. What is its perimeter (in cm)?
- 38.A rectangular field is 22 m long and 13 m wide. What is its area (in sq m)?
- 39.A triangle has a base of 6 cm and a height of 6 cm. What is its area (in sq cm)?
- 40.A garden is 15 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)?
Answer key
- 30
- 32
- 616
- 2464
- 198
- 96
- 200
- 189
- 40
- 1102
- 256
- 459
- 82
- 46
- 30
- 625
- 156
- 72
- 318
- 264
- 310
- 1386
- 220
- 24
- 108
- 2670
- 22
- 361
- 180
- 168
- 120
- 64
- 104
- 176
- 676
- 132
- 96
- 286
- 18
- 58
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