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.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 2.A rectangular field is 27 m long and 14 m wide. What is its area (in sq m)?
- 3.A park is 54 m long and 12 m wide. Fencing costs ₹21 per metre. What does it cost to fence the park all round (in ₹)?
- 4.The perimeter of a square is 12 cm. What is its area (in sq cm)?
- 5.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 6.The perimeter of a square is 68 cm. What is its area (in sq cm)?
- 7.A triangle has a base of 19 cm and a height of 16 cm. What is its area (in sq cm)?
- 8.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 9.A triangle has a base of 4 cm and a height of 5 cm. What is its area (in sq cm)?
- 10.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 11.A rectangle has an area of 186 sq cm and a length of 31 cm. What is its perimeter (in cm)?
- 12.A rectangle has an area of 168 sq cm and a length of 21 cm. What is its perimeter (in cm)?
- 13.The perimeter of a square is 96 cm. What is its area (in sq cm)?
- 14.A triangle has a base of 12 cm and a height of 17 cm. What is its area (in sq cm)?
- 15.A rectangular field is 12 m long and 11 m wide. What is its area (in sq m)?
- 16.A triangle has a base of 12 cm and a height of 8 cm. What is its area (in sq cm)?
- 17.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 18.A garden is 38 m long and 5 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 19.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
- 20.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
- 21.The perimeter of a square is 100 cm. What is its area (in sq cm)?
- 22.A park is 17 m long and 7 m wide. Fencing costs ₹23 per metre. What does it cost to fence the park all round (in ₹)?
- 23.The perimeter of a square is 80 cm. What is its area (in sq cm)?
- 24.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its perimeter (in cm)?
- 25.A park is 56 m long and 38 m wide. Fencing costs ₹17 per metre. What does it cost to fence the park all round (in ₹)?
- 26.A triangle has a base of 16 cm and a height of 3 cm. What is its area (in sq cm)?
- 27.A garden is 33 m long and 31 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 28.A garden is 37 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)?
- 29.A rectangular field is 32 m long and 17 m wide. What is its area (in sq m)?
- 30.A rectangular field is 14 m long and 4 m wide. What is its area (in sq m)?
- 31.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 32.A rectangular field is 38 m long and 23 m wide. What is its area (in sq m)?
- 33.A rectangle has an area of 384 sq cm and a length of 24 cm. What is its perimeter (in cm)?
- 34.A rectangle has an area of 75 sq cm and a length of 25 cm. What is its perimeter (in cm)?
- 35.A rectangle has an area of 340 sq cm and a length of 34 cm. What is its perimeter (in cm)?
- 36.A garden is 31 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)?
- 37.The perimeter of a square is 16 cm. What is its area (in sq cm)?
- 38.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its perimeter (in cm)?
- 39.A garden is 40 m long and 16 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 40.A rectangular field is 16 m long and 6 m wide. What is its area (in sq m)?
Answer key
- 2464
- 378
- 2772
- 9
- 264
- 289
- 152
- 1386
- 10
- 616
- 74
- 58
- 576
- 102
- 132
- 48
- 44
- 294
- 176
- 44
- 625
- 1104
- 400
- 46
- 3196
- 24
- 420
- 90
- 544
- 56
- 154
- 874
- 80
- 56
- 88
- 94
- 16
- 54
- 240
- 96
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