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 28 cm. What is its area (in sq cm)?
- 2.A garden is 24 m long and 6 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 3.A garden is 25 m long and 10 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 4.A rectangle has an area of 273 sq cm and a length of 39 cm. What is its perimeter (in cm)?
- 5.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its perimeter (in cm)?
- 6.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 7.A triangle has a base of 8 cm and a height of 7 cm. What is its area (in sq cm)?
- 8.A park is 47 m long and 35 m wide. Fencing costs ₹17 per metre. What does it cost to fence the park all round (in ₹)?
- 9.A rectangle has an area of 208 sq cm and a length of 26 cm. What is its perimeter (in cm)?
- 10.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 11.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its perimeter (in cm)?
- 12.A park is 27 m long and 10 m wide. Fencing costs ₹14 per metre. What does it cost to fence the park all round (in ₹)?
- 13.A rectangle has an area of 300 sq cm and a length of 30 cm. What is its perimeter (in cm)?
- 14.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 15.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its perimeter (in cm)?
- 16.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
- 17.A rectangle has an area of 264 sq cm and a length of 22 cm. What is its perimeter (in cm)?
- 18.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 19.The perimeter of a square is 24 cm. What is its area (in sq cm)?
- 20.A triangle has a base of 11 cm and a height of 6 cm. What is its area (in sq cm)?
- 21.A triangle has a base of 12 cm and a height of 10 cm. What is its area (in sq cm)?
- 22.A rectangular field is 32 m long and 5 m wide. What is its area (in sq m)?
- 23.A triangle has a base of 6 cm and a height of 20 cm. What is its area (in sq cm)?
- 24.A rectangular field is 7 m long and 3 m wide. What is its area (in sq m)?
- 25.A rectangular field is 39 m long and 21 m wide. What is its area (in sq m)?
- 26.A garden is 20 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)?
- 27.A garden is 28 m long and 17 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 28.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its perimeter (in cm)?
- 29.A triangle has a base of 4 cm and a height of 10 cm. What is its area (in sq cm)?
- 30.A park is 14 m long and 8 m wide. Fencing costs ₹34 per metre. What does it cost to fence the park all round (in ₹)?
- 31.A rectangle has an area of 132 sq cm and a length of 22 cm. What is its perimeter (in cm)?
- 32.A triangle has a base of 20 cm and a height of 17 cm. What is its area (in sq cm)?
- 33.A park is 24 m long and 5 m wide. Fencing costs ₹21 per metre. What does it cost to fence the park all round (in ₹)?
- 34.The perimeter of a square is 112 cm. What is its area (in sq cm)?
- 35.A park is 32 m long and 22 m wide. Fencing costs ₹38 per metre. What does it cost to fence the park all round (in ₹)?
- 36.A park is 51 m long and 36 m wide. Fencing costs ₹13 per metre. What does it cost to fence the park all round (in ₹)?
- 37.A garden is 20 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)?
- 38.A rectangular field is 14 m long and 10 m wide. What is its area (in sq m)?
- 39.A triangle has a base of 8 cm and a height of 6 cm. What is its area (in sq cm)?
- 40.A rectangular field is 10 m long and 8 m wide. What is its area (in sq m)?
Answer key
- 49
- 64
- 156
- 92
- 26
- 616
- 28
- 2788
- 68
- 88
- 44
- 1036
- 80
- 2464
- 18
- 176
- 68
- 154
- 36
- 33
- 60
- 160
- 60
- 21
- 819
- 74
- 94
- 54
- 20
- 1496
- 56
- 170
- 1218
- 784
- 4104
- 2262
- 70
- 140
- 24
- 80
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