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 6 cm and a height of 14 cm. What is its area (in sq cm)?
- 2.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 3.A park is 20 m long and 19 m wide. Fencing costs ₹19 per metre. What does it cost to fence the park all round (in ₹)?
- 4.A triangle has a base of 20 cm and a height of 17 cm. What is its area (in sq cm)?
- 5.A park is 30 m long and 21 m wide. Fencing costs ₹5 per metre. What does it cost to fence the park all round (in ₹)?
- 6.A garden is 10 m long and 5 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 7.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 8.A garden is 25 m long and 19 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 9.A rectangle has an area of 104 sq cm and a length of 13 cm. What is its perimeter (in cm)?
- 10.A rectangular field is 33 m long and 29 m wide. What is its area (in sq m)?
- 11.A garden is 15 m long and 10 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 12.A triangle has a base of 24 cm and a height of 5 cm. What is its area (in sq cm)?
- 13.A park is 50 m long and 44 m wide. Fencing costs ₹9 per metre. What does it cost to fence the park all round (in ₹)?
- 14.A garden is 11 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)?
- 15.A park is 29 m long and 6 m wide. Fencing costs ₹24 per metre. What does it cost to fence the park all round (in ₹)?
- 16.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
- 17.The perimeter of a square is 92 cm. What is its area (in sq cm)?
- 18.A triangle has a base of 9 cm and a height of 14 cm. What is its area (in sq cm)?
- 19.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 20.A rectangle has an area of 105 sq cm and a length of 35 cm. What is its perimeter (in cm)?
- 21.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its perimeter (in cm)?
- 22.A triangle has a base of 8 cm and a height of 10 cm. What is its area (in sq cm)?
- 23.A garden is 25 m long and 10 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 24.The perimeter of a square is 40 cm. What is its area (in sq cm)?
- 25.A garden is 12 m long and 10 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 26.A park is 48 m long and 44 m wide. Fencing costs ₹14 per metre. What does it cost to fence the park all round (in ₹)?
- 27.The perimeter of a square is 20 cm. What is its area (in sq cm)?
- 28.A park is 19 m long and 5 m wide. Fencing costs ₹40 per metre. What does it cost to fence the park all round (in ₹)?
- 29.A triangle has a base of 26 cm and a height of 15 cm. What is its area (in sq cm)?
- 30.A park is 36 m long and 19 m wide. Fencing costs ₹31 per metre. What does it cost to fence the park all round (in ₹)?
- 31.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its perimeter (in cm)?
- 32.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 33.The perimeter of a square is 76 cm. What is its area (in sq cm)?
- 34.A rectangle has an area of 1085 sq cm and a length of 35 cm. What is its perimeter (in cm)?
- 35.A park is 55 m long and 41 m wide. Fencing costs ₹18 per metre. What does it cost to fence the park all round (in ₹)?
- 36.A park is 44 m long and 13 m wide. Fencing costs ₹23 per metre. What does it cost to fence the park all round (in ₹)?
- 37.A triangle has a base of 8 cm and a height of 20 cm. What is its area (in sq cm)?
- 38.A garden is 37 m long and 24 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 39.A garden is 34 m long and 25 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 40.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
Answer key
- 42
- 616
- 1482
- 170
- 510
- 76
- 44
- 192
- 42
- 957
- 54
- 60
- 1692
- 84
- 1680
- 220
- 529
- 63
- 154
- 76
- 38
- 40
- 74
- 100
- 48
- 2576
- 25
- 1920
- 195
- 3410
- 30
- 2464
- 361
- 132
- 3456
- 2622
- 80
- 402
- 122
- 264
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