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 30 m long and 12 m wide. What is its area (in sq m)?
- 2.A garden is 17 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)?
- 3.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 4.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 5.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
- 6.A rectangular field is 28 m long and 12 m wide. What is its area (in sq m)?
- 7.A garden is 17 m long and 15 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 8.A rectangular field is 10 m long and 7 m wide. What is its area (in sq m)?
- 9.A garden is 20 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)?
- 10.A rectangular field is 25 m long and 8 m wide. What is its area (in sq m)?
- 11.The perimeter of a square is 48 cm. What is its area (in sq cm)?
- 12.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 13.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its perimeter (in cm)?
- 14.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 15.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
- 16.A park is 56 m long and 22 m wide. Fencing costs ₹29 per metre. What does it cost to fence the park all round (in ₹)?
- 17.A triangle has a base of 11 cm and a height of 14 cm. What is its area (in sq cm)?
- 18.A rectangular field is 25 m long and 24 m wide. What is its area (in sq m)?
- 19.A garden is 21 m long and 8 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 13 cm and a height of 24 cm. What is its area (in sq cm)?
- 21.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its perimeter (in cm)?
- 22.A park is 60 m long and 5 m wide. Fencing costs ₹21 per metre. What does it cost to fence the park all round (in ₹)?
- 23.A rectangular field is 40 m long and 12 m wide. What is its area (in sq m)?
- 24.A park is 19 m long and 13 m wide. Fencing costs ₹34 per metre. What does it cost to fence the park all round (in ₹)?
- 25.A garden is 22 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)?
- 26.A park is 29 m long and 16 m wide. Fencing costs ₹16 per metre. What does it cost to fence the park all round (in ₹)?
- 27.The perimeter of a square is 32 cm. What is its area (in sq cm)?
- 28.A triangle has a base of 14 cm and a height of 20 cm. What is its area (in sq cm)?
- 29.A park is 49 m long and 44 m wide. Fencing costs ₹29 per metre. What does it cost to fence the park all round (in ₹)?
- 30.A rectangular field is 21 m long and 5 m wide. What is its area (in sq m)?
- 31.A rectangular field is 33 m long and 7 m wide. What is its area (in sq m)?
- 32.A triangle has a base of 10 cm and a height of 24 cm. What is its area (in sq cm)?
- 33.A rectangle has an area of 936 sq cm and a length of 39 cm. What is its perimeter (in cm)?
- 34.The perimeter of a square is 72 cm. What is its area (in sq cm)?
- 35.A garden is 18 m long and 16 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 36.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
- 37.A park is 53 m long and 8 m wide. Fencing costs ₹5 per metre. What does it cost to fence the park all round (in ₹)?
- 38.A triangle has a base of 20 cm and a height of 22 cm. What is its area (in sq cm)?
- 39.A triangle has a base of 27 cm and a height of 14 cm. What is its area (in sq cm)?
- 40.A rectangle has an area of 252 sq cm and a length of 36 cm. What is its perimeter (in cm)?
Answer key
- 360
- 70
- 2464
- 1386
- 220
- 336
- 68
- 70
- 234
- 200
- 144
- 154
- 54
- 616
- 176
- 4524
- 77
- 600
- 210
- 156
- 50
- 2730
- 480
- 2176
- 66
- 1440
- 64
- 140
- 5394
- 105
- 231
- 120
- 126
- 324
- 240
- 44
- 610
- 220
- 189
- 86
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