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 triangle has a base of 12 cm and a height of 5 cm. What is its area (in sq cm)?
- 2.A rectangle has an area of 336 sq cm and a length of 28 cm. What is its perimeter (in cm)?
- 3.The perimeter of a square is 36 cm. What is its area (in sq cm)?
- 4.A park is 19 m long and 7 m wide. Fencing costs ₹17 per metre. What does it cost to fence the park all round (in ₹)?
- 5.A triangle has a base of 15 cm and a height of 10 cm. What is its area (in sq cm)?
- 6.The perimeter of a square is 84 cm. What is its area (in sq cm)?
- 7.A triangle has a base of 21 cm and a height of 10 cm. What is its area (in sq cm)?
- 8.A rectangular field is 7 m long and 6 m wide. What is its area (in sq m)?
- 9.The perimeter of a square is 20 cm. What is its area (in sq cm)?
- 10.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
- 11.A triangle has a base of 19 cm and a height of 8 cm. What is its area (in sq cm)?
- 12.A garden is 20 m long and 6 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 13.A garden is 11 m long and 9 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 14.A triangle has a base of 16 cm and a height of 20 cm. What is its area (in sq cm)?
- 15.The perimeter of a square is 32 cm. What is its area (in sq cm)?
- 16.A garden is 22 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)?
- 17.A rectangular field is 23 m long and 9 m wide. What is its area (in sq m)?
- 18.A park is 25 m long and 12 m wide. Fencing costs ₹40 per metre. What does it cost to fence the park all round (in ₹)?
- 19.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its perimeter (in cm)?
- 20.A garden is 34 m long and 30 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 21.A rectangular field is 7 m long and 5 m wide. What is its area (in sq m)?
- 22.A park is 51 m long and 39 m wide. Fencing costs ₹7 per metre. What does it cost to fence the park all round (in ₹)?
- 23.A park is 27 m long and 6 m wide. Fencing costs ₹18 per metre. What does it cost to fence the park all round (in ₹)?
- 24.A garden is 22 m long and 12 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 25.A rectangular field is 23 m long and 20 m wide. What is its area (in sq m)?
- 26.A rectangle has an area of 128 sq cm and a length of 32 cm. What is its perimeter (in cm)?
- 27.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
- 28.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 29.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 30.A triangle has a base of 22 cm and a height of 16 cm. What is its area (in sq cm)?
- 31.A garden is 22 m long and 17 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 32.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 33.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 34.A rectangular field is 38 m long and 15 m wide. What is its area (in sq m)?
- 35.A park is 45 m long and 8 m wide. Fencing costs ₹8 per metre. What does it cost to fence the park all round (in ₹)?
- 36.A rectangular field is 26 m long and 5 m wide. What is its area (in sq m)?
- 37.The perimeter of a square is 40 cm. What is its area (in sq cm)?
- 38.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 39.A park is 47 m long and 38 m wide. Fencing costs ₹12 per metre. What does it cost to fence the park all round (in ₹)?
- 40.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
Answer key
- 30
- 80
- 81
- 884
- 75
- 441
- 105
- 42
- 25
- 220
- 76
- 120
- 156
- 160
- 64
- 140
- 207
- 2960
- 16
- 420
- 35
- 1260
- 1188
- 72
- 460
- 72
- 176
- 88
- 88
- 176
- 172
- 154
- 264
- 570
- 848
- 130
- 100
- 1386
- 2040
- 132
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