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 12 cm. What is its area (in sq cm)?
- 2.A rectangular field is 18 m long and 17 m wide. What is its area (in sq m)?
- 3.A park is 42 m long and 40 m wide. Fencing costs ₹5 per metre. What does it cost to fence the park all round (in ₹)?
- 4.A park is 37 m long and 24 m wide. Fencing costs ₹16 per metre. What does it cost to fence the park all round (in ₹)?
- 5.A park is 20 m long and 8 m wide. Fencing costs ₹26 per metre. What does it cost to fence the park all round (in ₹)?
- 6.The perimeter of a square is 120 cm. What is its area (in sq cm)?
- 7.The perimeter of a square is 52 cm. What is its area (in sq cm)?
- 8.A garden is 27 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)?
- 9.A garden is 32 m long and 16 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 10.The perimeter of a square is 20 cm. What is its area (in sq cm)?
- 11.The perimeter of a square is 44 cm. What is its area (in sq cm)?
- 12.The perimeter of a square is 40 cm. What is its area (in sq cm)?
- 13.A triangle has a base of 9 cm and a height of 22 cm. What is its area (in sq cm)?
- 14.A garden is 31 m long and 15 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 15.A triangle has a base of 24 cm and a height of 8 cm. What is its area (in sq cm)?
- 16.A rectangular field is 7 m long and 3 m wide. What is its area (in sq m)?
- 17.A garden is 28 m long and 19 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 20 m long and 9 m wide. Fencing costs ₹23 per metre. What does it cost to fence the park all round (in ₹)?
- 19.A rectangular field is 22 m long and 4 m wide. What is its area (in sq m)?
- 20.A rectangular field is 13 m long and 7 m wide. What is its area (in sq m)?
- 21.The perimeter of a square is 100 cm. What is its area (in sq cm)?
- 22.The perimeter of a square is 32 cm. What is its area (in sq cm)?
- 23.A triangle has a base of 10 cm and a height of 17 cm. What is its area (in sq cm)?
- 24.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 25.A rectangular field is 32 m long and 4 m wide. What is its area (in sq m)?
- 26.A triangle has a base of 13 cm and a height of 18 cm. What is its area (in sq cm)?
- 27.A rectangle has an area of 69 sq cm and a length of 23 cm. What is its perimeter (in cm)?
- 28.A park is 18 m long and 11 m wide. Fencing costs ₹11 per metre. What does it cost to fence the park all round (in ₹)?
- 29.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 30.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 31.A rectangle has an area of 147 sq cm and a length of 21 cm. What is its perimeter (in cm)?
- 32.A triangle has a base of 28 cm and a height of 22 cm. What is its area (in sq cm)?
- 33.A rectangular field is 36 m long and 6 m wide. What is its area (in sq m)?
- 34.A triangle has a base of 23 cm and a height of 24 cm. What is its area (in sq cm)?
- 35.A park is 52 m long and 51 m wide. Fencing costs ₹13 per metre. What does it cost to fence the park all round (in ₹)?
- 36.The perimeter of a square is 76 cm. What is its area (in sq cm)?
- 37.A triangle has a base of 13 cm and a height of 16 cm. What is its area (in sq cm)?
- 38.A garden is 36 m long and 16 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 39.A park is 55 m long and 23 m wide. Fencing costs ₹26 per metre. What does it cost to fence the park all round (in ₹)?
- 40.A triangle has a base of 25 cm and a height of 14 cm. What is its area (in sq cm)?
Answer key
- 9
- 306
- 820
- 1952
- 1456
- 900
- 169
- 212
- 208
- 25
- 121
- 100
- 99
- 200
- 96
- 21
- 318
- 1334
- 88
- 91
- 625
- 64
- 85
- 154
- 128
- 117
- 52
- 638
- 88
- 2464
- 56
- 308
- 216
- 276
- 2678
- 361
- 104
- 224
- 4056
- 175
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