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.The perimeter of a square is 104 cm. What is its area (in sq cm)?
- 2.A park is 17 m long and 16 m wide. Fencing costs ₹18 per metre. What does it cost to fence the park all round (in ₹)?
- 3.A rectangle has an area of 494 sq cm and a length of 26 cm. What is its perimeter (in cm)?
- 4.A park is 59 m long and 19 m wide. Fencing costs ₹32 per metre. What does it cost to fence the park all round (in ₹)?
- 5.A garden is 18 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)?
- 6.A rectangular field is 31 m long and 12 m wide. What is its area (in sq m)?
- 7.A triangle has a base of 25 cm and a height of 8 cm. What is its area (in sq cm)?
- 8.A round wheel has a radius of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 9.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 10.A triangle has a base of 14 cm and a height of 5 cm. What is its area (in sq cm)?
- 11.A rectangular field is 38 m long and 5 m wide. What is its area (in sq m)?
- 12.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its perimeter (in cm)?
- 13.A garden is 30 m long and 19 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 40 m long and 23 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 15.The perimeter of a square is 112 cm. What is its area (in sq cm)?
- 16.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
- 17.The perimeter of a square is 64 cm. What is its area (in sq cm)?
- 18.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 19.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its perimeter (in cm)?
- 20.A garden is 22 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)?
- 21.A park is 51 m long and 33 m wide. Fencing costs ₹7 per metre. What does it cost to fence the park all round (in ₹)?
- 22.A rectangular field is 35 m long and 11 m wide. What is its area (in sq m)?
- 23.A park is 31 m long and 12 m wide. Fencing costs ₹28 per metre. What does it cost to fence the park all round (in ₹)?
- 24.A rectangle has an area of 92 sq cm and a length of 23 cm. What is its perimeter (in cm)?
- 25.A rectangle has an area of 84 sq cm and a length of 28 cm. What is its perimeter (in cm)?
- 26.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its perimeter (in cm)?
- 27.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 28.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
- 29.A rectangular field is 17 m long and 13 m wide. What is its area (in sq m)?
- 30.A rectangular field is 26 m long and 14 m wide. What is its area (in sq m)?
- 31.A rectangle has an area of 462 sq cm and a length of 33 cm. What is its perimeter (in cm)?
- 32.A rectangular field is 37 m long and 13 m wide. What is its area (in sq m)?
- 33.A rectangle has an area of 644 sq cm and a length of 28 cm. What is its perimeter (in cm)?
- 34.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 35.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its perimeter (in cm)?
- 36.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its perimeter (in cm)?
- 37.A rectangular field is 29 m long and 27 m wide. What is its area (in sq m)?
- 38.A garden is 18 m long and 17 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 39.The perimeter of a square is 16 cm. What is its area (in sq cm)?
- 40.A rectangular field is 33 m long and 6 m wide. What is its area (in sq m)?
Answer key
- 676
- 1188
- 90
- 4992
- 192
- 372
- 100
- 176
- 154
- 35
- 190
- 30
- 102
- 414
- 784
- 220
- 256
- 2464
- 30
- 264
- 1176
- 385
- 2408
- 54
- 62
- 52
- 44
- 44
- 221
- 364
- 94
- 481
- 102
- 616
- 32
- 48
- 783
- 156
- 16
- 198
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