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 28 cm (take π = 22/7; answer in sq cm).
- 2.A triangle has a base of 26 cm and a height of 18 cm. What is its area (in sq cm)?
- 3.A rectangular field is 9 m long and 4 m wide. What is its area (in sq m)?
- 4.A park is 31 m long and 18 m wide. Fencing costs ₹11 per metre. What does it cost to fence the park all round (in ₹)?
- 5.The perimeter of a square is 56 cm. What is its area (in sq cm)?
- 6.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its perimeter (in cm)?
- 7.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 8.A garden is 12 m long and 7 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 9.The perimeter of a square is 116 cm. What is its area (in sq cm)?
- 10.A park is 47 m long and 16 m wide. Fencing costs ₹7 per metre. What does it cost to fence the park all round (in ₹)?
- 11.A triangle has a base of 4 cm and a height of 11 cm. What is its area (in sq cm)?
- 12.A rectangular field is 21 m long and 19 m wide. What is its area (in sq m)?
- 13.A triangle has a base of 30 cm and a height of 20 cm. What is its area (in sq cm)?
- 14.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 15.A park is 10 m long and 7 m wide. Fencing costs ₹10 per metre. What does it cost to fence the park all round (in ₹)?
- 16.A rectangle has an area of 703 sq cm and a length of 37 cm. What is its perimeter (in cm)?
- 17.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 18.A triangle has a base of 17 cm and a height of 16 cm. What is its area (in sq cm)?
- 19.A garden is 36 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)?
- 20.A triangle has a base of 4 cm and a height of 25 cm. What is its area (in sq cm)?
- 21.A garden is 33 m long and 20 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 22.A rectangular field is 15 m long and 5 m wide. What is its area (in sq m)?
- 23.A rectangular field is 5 m long and 4 m wide. What is its area (in sq m)?
- 24.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
- 25.A rectangular field is 40 m long and 6 m wide. What is its area (in sq m)?
- 26.A rectangular field is 15 m long and 10 m wide. What is its area (in sq m)?
- 27.A park is 11 m long and 7 m wide. Fencing costs ₹37 per metre. What does it cost to fence the park all round (in ₹)?
- 28.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 29.A garden is 23 m long and 5 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 30.A rectangle has an area of 1122 sq cm and a length of 34 cm. What is its perimeter (in cm)?
- 31.The perimeter of a square is 16 cm. What is its area (in sq cm)?
- 32.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 33.The perimeter of a square is 20 cm. What is its area (in sq cm)?
- 34.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its perimeter (in cm)?
- 35.A rectangular field is 24 m long and 10 m wide. What is its area (in sq m)?
- 36.A park is 57 m long and 25 m wide. Fencing costs ₹22 per metre. What does it cost to fence the park all round (in ₹)?
- 37.A rectangle has an area of 555 sq cm and a length of 37 cm. What is its perimeter (in cm)?
- 38.A triangle has a base of 23 cm and a height of 20 cm. What is its area (in sq cm)?
- 39.A park is 44 m long and 29 m wide. Fencing costs ₹20 per metre. What does it cost to fence the park all round (in ₹)?
- 40.The perimeter of a square is 40 cm. What is its area (in sq cm)?
Answer key
- 2464
- 234
- 36
- 1078
- 196
- 30
- 154
- 150
- 841
- 882
- 22
- 399
- 300
- 88
- 340
- 112
- 1386
- 136
- 378
- 50
- 228
- 75
- 20
- 220
- 240
- 150
- 1332
- 616
- 204
- 134
- 16
- 88
- 25
- 46
- 240
- 3608
- 104
- 230
- 2920
- 100
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