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 10 cm and a height of 14 cm. What is its area (in sq cm)?
- 2.A park is 27 m long and 6 m wide. Fencing costs ₹27 per metre. What does it cost to fence the park all round (in ₹)?
- 3.A park is 22 m long and 18 m wide. Fencing costs ₹12 per metre. What does it cost to fence the park all round (in ₹)?
- 4.A garden is 17 m long and 14 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 5.The perimeter of a square is 68 cm. What is its area (in sq cm)?
- 6.A rectangular field is 32 m long and 24 m wide. What is its area (in sq m)?
- 7.A park is 29 m long and 23 m wide. Fencing costs ₹9 per metre. What does it cost to fence the park all round (in ₹)?
- 8.A triangle has a base of 22 cm and a height of 15 cm. What is its area (in sq cm)?
- 9.A garden is 31 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)?
- 10.The perimeter of a square is 72 cm. What is its area (in sq cm)?
- 11.A rectangular field is 16 m long and 15 m wide. What is its area (in sq m)?
- 12.A garden is 34 m long and 33 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 13.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its perimeter (in cm)?
- 14.A garden is 30 m long and 5 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 15.A garden is 16 m long and 11 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 16.A garden is 38 m long and 25 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 17.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 18.A triangle has a base of 4 cm and a height of 6 cm. What is its area (in sq cm)?
- 19.A rectangular field is 38 m long and 15 m wide. What is its area (in sq m)?
- 20.The perimeter of a square is 16 cm. What is its area (in sq cm)?
- 21.The perimeter of a square is 60 cm. What is its area (in sq cm)?
- 22.A rectangular field is 29 m long and 9 m wide. What is its area (in sq m)?
- 23.A triangle has a base of 21 cm and a height of 6 cm. What is its area (in sq cm)?
- 24.The perimeter of a square is 100 cm. What is its area (in sq cm)?
- 25.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
- 26.A rectangular field is 17 m long and 3 m wide. What is its area (in sq m)?
- 27.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 28.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 29.A triangle has a base of 28 cm and a height of 13 cm. What is its area (in sq cm)?
- 30.A park is 37 m long and 17 m wide. Fencing costs ₹13 per metre. What does it cost to fence the park all round (in ₹)?
- 31.A rectangular field is 8 m long and 7 m wide. What is its area (in sq m)?
- 32.The perimeter of a square is 112 cm. What is its area (in sq cm)?
- 33.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
- 34.A rectangle has an area of 196 sq cm and a length of 28 cm. What is its perimeter (in cm)?
- 35.A rectangular field is 9 m long and 6 m wide. What is its area (in sq m)?
- 36.The perimeter of a square is 64 cm. What is its area (in sq cm)?
- 37.The perimeter of a square is 28 cm. What is its area (in sq cm)?
- 38.A park is 12 m long and 9 m wide. Fencing costs ₹19 per metre. What does it cost to fence the park all round (in ₹)?
- 39.A park is 59 m long and 28 m wide. Fencing costs ₹18 per metre. What does it cost to fence the park all round (in ₹)?
- 40.A rectangle has an area of 480 sq cm and a length of 30 cm. What is its perimeter (in cm)?
Answer key
- 70
- 1782
- 960
- 140
- 289
- 768
- 936
- 165
- 402
- 324
- 240
- 284
- 26
- 74
- 198
- 414
- 88
- 12
- 570
- 16
- 225
- 261
- 63
- 625
- 132
- 51
- 1386
- 88
- 182
- 1404
- 56
- 784
- 220
- 70
- 54
- 256
- 49
- 798
- 3132
- 92
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