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.A rectangular field is 38 m long and 23 m wide. What is its area (in sq m)?
- 2.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 3.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
- 4.A park is 28 m long and 22 m wide. Fencing costs ₹6 per metre. What does it cost to fence the park all round (in ₹)?
- 5.The perimeter of a square is 84 cm. What is its area (in sq cm)?
- 6.A rectangular field is 37 m long and 34 m wide. What is its area (in sq m)?
- 7.The perimeter of a square is 104 cm. What is its area (in sq cm)?
- 8.A park is 16 m long and 13 m wide. Fencing costs ₹28 per metre. What does it cost to fence the park all round (in ₹)?
- 9.A rectangular field is 15 m long and 10 m wide. What is its area (in sq m)?
- 10.The perimeter of a square is 80 cm. What is its area (in sq cm)?
- 11.A park is 19 m long and 15 m wide. Fencing costs ₹6 per metre. What does it cost to fence the park all round (in ₹)?
- 12.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 13.A garden is 17 m long and 14 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 14.A park is 57 m long and 24 m wide. Fencing costs ₹35 per metre. What does it cost to fence the park all round (in ₹)?
- 15.A park is 41 m long and 7 m wide. Fencing costs ₹13 per metre. What does it cost to fence the park all round (in ₹)?
- 16.A rectangle has an area of 414 sq cm and a length of 23 cm. What is its perimeter (in cm)?
- 17.The perimeter of a square is 56 cm. What is its area (in sq cm)?
- 18.A rectangular field is 34 m long and 23 m wide. What is its area (in sq m)?
- 19.A garden is 34 m long and 9 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 26 cm and a height of 24 cm. What is its area (in sq cm)?
- 21.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 22.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 23.A garden is 34 m long and 13 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 24.A park is 48 m long and 29 m wide. Fencing costs ₹40 per metre. What does it cost to fence the park all round (in ₹)?
- 25.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 26.A park is 55 m long and 8 m wide. Fencing costs ₹31 per metre. What does it cost to fence the park all round (in ₹)?
- 27.A garden is 33 m long and 12 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 28.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
- 29.A park is 44 m long and 30 m wide. Fencing costs ₹9 per metre. What does it cost to fence the park all round (in ₹)?
- 30.A garden is 34 m long and 13 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 31.The perimeter of a square is 24 cm. What is its area (in sq cm)?
- 32.A park is 48 m long and 13 m wide. Fencing costs ₹26 per metre. What does it cost to fence the park all round (in ₹)?
- 33.A triangle has a base of 26 cm and a height of 4 cm. What is its area (in sq cm)?
- 34.A triangle has a base of 25 cm and a height of 24 cm. What is its area (in sq cm)?
- 35.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its perimeter (in cm)?
- 36.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its perimeter (in cm)?
- 37.A rectangle has an area of 806 sq cm and a length of 31 cm. What is its perimeter (in cm)?
- 38.A rectangular field is 30 m long and 4 m wide. What is its area (in sq m)?
- 39.A rectangular field is 25 m long and 3 m wide. What is its area (in sq m)?
- 40.A rectangular field is 20 m long and 19 m wide. What is its area (in sq m)?
Answer key
- 874
- 88
- 264
- 600
- 441
- 1258
- 676
- 1624
- 150
- 400
- 408
- 616
- 222
- 5670
- 1248
- 82
- 196
- 782
- 294
- 312
- 1386
- 154
- 204
- 6160
- 2464
- 3906
- 94
- 44
- 1332
- 318
- 36
- 3172
- 52
- 300
- 64
- 22
- 114
- 120
- 75
- 380
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