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 14 cm (take π = 22/7; answer in sq cm).
- 2.The perimeter of a square is 36 cm. What is its area (in sq cm)?
- 3.A garden is 19 m long and 7 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 4.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 5.A park is 47 m long and 5 m wide. Fencing costs ₹7 per metre. What does it cost to fence the park all round (in ₹)?
- 6.The perimeter of a square is 28 cm. What is its area (in sq cm)?
- 7.A park is 46 m long and 10 m wide. Fencing costs ₹13 per metre. What does it cost to fence the park all round (in ₹)?
- 8.A garden is 11 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)?
- 9.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
- 10.The perimeter of a square is 104 cm. What is its area (in sq cm)?
- 11.A rectangular field is 36 m long and 27 m wide. What is its area (in sq m)?
- 12.A triangle has a base of 29 cm and a height of 24 cm. What is its area (in sq cm)?
- 13.A garden is 19 m long and 13 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 14.The perimeter of a square is 92 cm. What is its area (in sq cm)?
- 15.A garden is 21 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)?
- 16.The perimeter of a square is 12 cm. What is its area (in sq cm)?
- 17.A garden is 24 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)?
- 18.A park is 23 m long and 8 m wide. Fencing costs ₹25 per metre. What does it cost to fence the park all round (in ₹)?
- 19.A park is 43 m long and 42 m wide. Fencing costs ₹28 per metre. What does it cost to fence the park all round (in ₹)?
- 20.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 21.A triangle has a base of 22 cm and a height of 16 cm. What is its area (in sq cm)?
- 22.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
- 23.The perimeter of a square is 16 cm. What is its area (in sq cm)?
- 24.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its perimeter (in cm)?
- 25.A garden is 11 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)?
- 26.A triangle has a base of 26 cm and a height of 17 cm. What is its area (in sq cm)?
- 27.A rectangular field is 18 m long and 11 m wide. What is its area (in sq m)?
- 28.A rectangle has an area of 372 sq cm and a length of 31 cm. What is its perimeter (in cm)?
- 29.A park is 35 m long and 17 m wide. Fencing costs ₹20 per metre. What does it cost to fence the park all round (in ₹)?
- 30.The perimeter of a square is 80 cm. What is its area (in sq cm)?
- 31.A rectangular field is 12 m long and 7 m wide. What is its area (in sq m)?
- 32.A garden is 30 m long and 27 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 33.A park is 46 m long and 27 m wide. Fencing costs ₹8 per metre. What does it cost to fence the park all round (in ₹)?
- 34.The perimeter of a square is 60 cm. What is its area (in sq cm)?
- 35.The perimeter of a square is 64 cm. What is its area (in sq cm)?
- 36.A triangle has a base of 28 cm and a height of 15 cm. What is its area (in sq cm)?
- 37.A triangle has a base of 24 cm and a height of 3 cm. What is its area (in sq cm)?
- 38.A park is 13 m long and 10 m wide. Fencing costs ₹24 per metre. What does it cost to fence the park all round (in ₹)?
- 39.A rectangle has an area of 54 sq cm and a length of 18 cm. What is its perimeter (in cm)?
- 40.A park is 15 m long and 8 m wide. Fencing costs ₹29 per metre. What does it cost to fence the park all round (in ₹)?
Answer key
- 616
- 81
- 120
- 132
- 728
- 49
- 1456
- 40
- 132
- 676
- 972
- 348
- 68
- 529
- 204
- 9
- 306
- 1550
- 4760
- 154
- 176
- 44
- 16
- 18
- 36
- 221
- 198
- 86
- 2080
- 400
- 84
- 118
- 1168
- 225
- 256
- 210
- 36
- 1104
- 42
- 1334
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