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 532 sq cm and a length of 28 cm. What is its perimeter (in cm)?
- 2.A garden is 15 m long and 8 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 3.A triangle has a base of 20 cm and a height of 18 cm. What is its area (in sq cm)?
- 4.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 5.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 6.The perimeter of a square is 116 cm. What is its area (in sq cm)?
- 7.A garden is 30 m long and 11 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 8.A garden is 37 m long and 20 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 9.A garden is 28 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)?
- 10.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 11.A triangle has a base of 20 cm and a height of 5 cm. What is its area (in sq cm)?
- 12.A rectangular field is 30 m long and 16 m wide. What is its area (in sq m)?
- 13.A triangle has a base of 18 cm and a height of 19 cm. What is its area (in sq cm)?
- 14.A park is 17 m long and 11 m wide. Fencing costs ₹5 per metre. What does it cost to fence the park all round (in ₹)?
- 15.A rectangular field is 11 m long and 5 m wide. What is its area (in sq m)?
- 16.A park is 19 m long and 6 m wide. Fencing costs ₹26 per metre. What does it cost to fence the park all round (in ₹)?
- 17.A rectangular field is 23 m long and 3 m wide. What is its area (in sq m)?
- 18.A park is 18 m long and 11 m wide. Fencing costs ₹26 per metre. What does it cost to fence the park all round (in ₹)?
- 19.The perimeter of a square is 100 cm. What is its area (in sq cm)?
- 20.A garden is 21 m long and 19 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 21.The perimeter of a square is 72 cm. What is its area (in sq cm)?
- 22.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 23.A triangle has a base of 4 cm and a height of 23 cm. What is its area (in sq cm)?
- 24.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its perimeter (in cm)?
- 25.A park is 22 m long and 15 m wide. Fencing costs ₹6 per metre. What does it cost to fence the park all round (in ₹)?
- 26.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 27.A rectangular field is 12 m long and 8 m wide. What is its area (in sq m)?
- 28.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
- 29.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 30.A rectangle has an area of 783 sq cm and a length of 29 cm. What is its perimeter (in cm)?
- 31.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its perimeter (in cm)?
- 32.A rectangular field is 29 m long and 5 m wide. What is its area (in sq m)?
- 33.The perimeter of a square is 16 cm. What is its area (in sq cm)?
- 34.A triangle has a base of 15 cm and a height of 12 cm. What is its area (in sq cm)?
- 35.A triangle has a base of 13 cm and a height of 14 cm. What is its area (in sq cm)?
- 36.A garden is 26 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)?
- 37.A rectangular field is 6 m long and 3 m wide. What is its area (in sq m)?
- 38.A rectangular field is 30 m long and 20 m wide. What is its area (in sq m)?
- 39.A rectangular field is 25 m long and 20 m wide. What is its area (in sq m)?
- 40.A rectangular field is 5 m long and 4 m wide. What is its area (in sq m)?
Answer key
- 94
- 50
- 180
- 1386
- 154
- 841
- 180
- 244
- 180
- 616
- 50
- 480
- 171
- 280
- 55
- 1300
- 69
- 1508
- 625
- 84
- 324
- 2464
- 46
- 34
- 444
- 264
- 96
- 132
- 44
- 112
- 34
- 145
- 16
- 90
- 91
- 68
- 18
- 600
- 500
- 20
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