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 park is 51 m long and 35 m wide. Fencing costs ₹34 per metre. What does it cost to fence the park all round (in ₹)?
- 2.A rectangular field is 38 m long and 28 m wide. What is its area (in sq m)?
- 3.A garden is 17 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)?
- 4.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its perimeter (in cm)?
- 5.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 6.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
- 7.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 8.The perimeter of a square is 36 cm. What is its area (in sq cm)?
- 9.The perimeter of a square is 116 cm. What is its area (in sq cm)?
- 10.The perimeter of a square is 120 cm. What is its area (in sq cm)?
- 11.A garden is 15 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)?
- 12.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
- 13.A triangle has a base of 26 cm and a height of 5 cm. What is its area (in sq cm)?
- 14.A rectangle has an area of 504 sq cm and a length of 36 cm. What is its perimeter (in cm)?
- 15.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 16.A triangle has a base of 4 cm and a height of 15 cm. What is its area (in sq cm)?
- 17.A garden is 25 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)?
- 18.A triangle has a base of 6 cm and a height of 23 cm. What is its area (in sq cm)?
- 19.A rectangle has an area of 264 sq cm and a length of 24 cm. What is its perimeter (in cm)?
- 20.A triangle has a base of 9 cm and a height of 12 cm. What is its area (in sq cm)?
- 21.A garden is 13 m long and 9 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 22.A triangle has a base of 24 cm and a height of 24 cm. What is its area (in sq cm)?
- 23.A garden is 14 m long and 6 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 24.A rectangle has an area of 1116 sq cm and a length of 36 cm. What is its perimeter (in cm)?
- 25.A park is 42 m long and 9 m wide. Fencing costs ₹13 per metre. What does it cost to fence the park all round (in ₹)?
- 26.The perimeter of a square is 80 cm. What is its area (in sq cm)?
- 27.A garden is 22 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)?
- 28.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its perimeter (in cm)?
- 29.A triangle has a base of 8 cm and a height of 25 cm. What is its area (in sq cm)?
- 30.A park is 18 m long and 11 m wide. Fencing costs ₹33 per metre. What does it cost to fence the park all round (in ₹)?
- 31.A park is 48 m long and 31 m wide. Fencing costs ₹12 per metre. What does it cost to fence the park all round (in ₹)?
- 32.A triangle has a base of 6 cm and a height of 16 cm. What is its area (in sq cm)?
- 33.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 34.A triangle has a base of 20 cm and a height of 7 cm. What is its area (in sq cm)?
- 35.A park is 55 m long and 33 m wide. Fencing costs ₹18 per metre. What does it cost to fence the park all round (in ₹)?
- 36.A triangle has a base of 30 cm and a height of 4 cm. What is its area (in sq cm)?
- 37.A triangle has a base of 16 cm and a height of 23 cm. What is its area (in sq cm)?
- 38.A rectangular field is 34 m long and 27 m wide. What is its area (in sq m)?
- 39.A garden is 22 m long and 17 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 40.A rectangular field is 13 m long and 5 m wide. What is its area (in sq m)?
Answer key
- 5848
- 1064
- 48
- 22
- 154
- 264
- 1386
- 81
- 841
- 900
- 48
- 176
- 65
- 100
- 2464
- 30
- 176
- 69
- 70
- 54
- 104
- 288
- 156
- 134
- 1326
- 400
- 164
- 28
- 100
- 1914
- 1896
- 48
- 616
- 70
- 3168
- 60
- 184
- 918
- 270
- 65
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