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 68 cm. What is its area (in sq cm)?
- 2.A park is 54 m long and 11 m wide. Fencing costs ₹11 per metre. What does it cost to fence the park all round (in ₹)?
- 3.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 4.A garden is 17 m long and 6 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 5.A rectangular field is 29 m long and 4 m wide. What is its area (in sq m)?
- 6.A garden is 10 m long and 6 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 7.A park is 31 m long and 10 m wide. Fencing costs ₹14 per metre. What does it cost to fence the park all round (in ₹)?
- 8.A garden is 23 m long and 18 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 9.A rectangle has an area of 836 sq cm and a length of 38 cm. What is its perimeter (in cm)?
- 10.A park is 32 m long and 14 m wide. Fencing costs ₹21 per metre. What does it cost to fence the park all round (in ₹)?
- 11.A rectangle has an area of 828 sq cm and a length of 36 cm. What is its perimeter (in cm)?
- 12.A garden is 22 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)?
- 13.A rectangle has an area of 518 sq cm and a length of 37 cm. What is its perimeter (in cm)?
- 14.A round wheel has a radius of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 15.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 16.A triangle has a base of 13 cm and a height of 22 cm. What is its area (in sq cm)?
- 17.The perimeter of a square is 104 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.The perimeter of a square is 52 cm. What is its area (in sq cm)?
- 20.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 21.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its perimeter (in cm)?
- 22.A rectangular field is 39 m long and 6 m wide. What is its area (in sq m)?
- 23.The perimeter of a square is 36 cm. What is its area (in sq cm)?
- 24.The perimeter of a square is 24 cm. What is its area (in sq cm)?
- 25.A park is 33 m long and 19 m wide. Fencing costs ₹5 per metre. What does it cost to fence the park all round (in ₹)?
- 26.A garden is 26 m long and 16 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 27.A rectangular field is 36 m long and 17 m wide. What is its area (in sq m)?
- 28.A garden is 31 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)?
- 29.A rectangular field is 38 m long and 11 m wide. What is its area (in sq m)?
- 30.A park is 47 m long and 8 m wide. Fencing costs ₹14 per metre. What does it cost to fence the park all round (in ₹)?
- 31.A rectangular field is 16 m long and 6 m wide. What is its area (in sq m)?
- 32.A park is 19 m long and 10 m wide. Fencing costs ₹10 per metre. What does it cost to fence the park all round (in ₹)?
- 33.A rectangle has an area of 224 sq cm and a length of 28 cm. What is its perimeter (in cm)?
- 34.A rectangle has an area of 1406 sq cm and a length of 38 cm. What is its perimeter (in cm)?
- 35.A garden is 20 m long and 15 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 36.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 37.A rectangle has an area of 24 sq cm and a length of 6 cm. What is its perimeter (in cm)?
- 38.A garden is 10 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)?
- 39.A garden is 21 m long and 7 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 40.A rectangle has an area of 336 sq cm and a length of 24 cm. What is its perimeter (in cm)?
Answer key
- 289
- 1430
- 1386
- 174
- 116
- 80
- 1148
- 282
- 120
- 1932
- 118
- 294
- 102
- 176
- 44
- 143
- 676
- 2464
- 169
- 616
- 48
- 234
- 81
- 36
- 520
- 88
- 612
- 180
- 418
- 1540
- 96
- 580
- 72
- 150
- 246
- 154
- 20
- 42
- 60
- 76
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