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 rectangle has an area of 117 sq cm and a length of 39 cm. What is its perimeter (in cm)?
- 2.A park is 26 m long and 24 m wide. Fencing costs ₹26 per metre. What does it cost to fence the park all round (in ₹)?
- 3.A triangle has a base of 8 cm and a height of 5 cm. What is its area (in sq cm)?
- 4.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 5.The perimeter of a square is 120 cm. What is its area (in sq cm)?
- 6.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 7.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 8.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its perimeter (in cm)?
- 9.A garden is 33 m long and 23 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 10.A park is 13 m long and 7 m wide. Fencing costs ₹28 per metre. What does it cost to fence the park all round (in ₹)?
- 11.A rectangle has an area of 728 sq cm and a length of 28 cm. What is its perimeter (in cm)?
- 12.A triangle has a base of 27 cm and a height of 10 cm. What is its area (in sq cm)?
- 13.A park is 28 m long and 14 m wide. Fencing costs ₹37 per metre. What does it cost to fence the park all round (in ₹)?
- 14.A rectangular field is 14 m long and 6 m wide. What is its area (in sq m)?
- 15.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 16.A round wheel has a radius of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 17.A rectangular field is 19 m long and 13 m wide. What is its area (in sq m)?
- 18.The perimeter of a square is 80 cm. What is its area (in sq cm)?
- 19.A rectangular field is 35 m long and 8 m wide. What is its area (in sq m)?
- 20.A rectangular field is 10 m long and 3 m wide. What is its area (in sq m)?
- 21.A park is 31 m long and 9 m wide. Fencing costs ₹22 per metre. What does it cost to fence the park all round (in ₹)?
- 22.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
- 23.A rectangular field is 26 m long and 15 m wide. What is its area (in sq m)?
- 24.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its perimeter (in cm)?
- 25.A garden is 14 m long and 8 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 26.A garden is 19 m long and 11 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 27.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 28.A park is 16 m long and 6 m wide. Fencing costs ₹33 per metre. What does it cost to fence the park all round (in ₹)?
- 29.The perimeter of a square is 116 cm. What is its area (in sq cm)?
- 30.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its perimeter (in cm)?
- 31.A garden is 15 m long and 14 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 32.A triangle has a base of 24 cm and a height of 3 cm. What is its area (in sq cm)?
- 33.A rectangle has an area of 204 sq cm and a length of 34 cm. What is its perimeter (in cm)?
- 34.A garden is 39 m long and 12 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 35.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
- 36.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
- 37.The perimeter of a square is 84 cm. What is its area (in sq cm)?
- 38.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its perimeter (in cm)?
- 39.A triangle has a base of 20 cm and a height of 19 cm. What is its area (in sq cm)?
- 40.A garden is 39 m long and 33 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
Answer key
- 84
- 2600
- 20
- 154
- 900
- 2464
- 616
- 26
- 116
- 1120
- 108
- 135
- 3108
- 84
- 132
- 176
- 247
- 400
- 280
- 30
- 1760
- 264
- 390
- 34
- 104
- 64
- 88
- 1452
- 841
- 22
- 62
- 36
- 80
- 342
- 132
- 220
- 441
- 38
- 190
- 468
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