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 garden is 35 m long and 20 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 2.The perimeter of a square is 100 cm. What is its area (in sq cm)?
- 3.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
- 4.A park is 20 m long and 14 m wide. Fencing costs ₹8 per metre. What does it cost to fence the park all round (in ₹)?
- 5.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 6.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
- 7.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 8.The perimeter of a square is 32 cm. What is its area (in sq cm)?
- 9.A triangle has a base of 22 cm and a height of 6 cm. What is its area (in sq cm)?
- 10.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 11.The perimeter of a square is 84 cm. What is its area (in sq cm)?
- 12.A park is 18 m long and 6 m wide. Fencing costs ₹13 per metre. What does it cost to fence the park all round (in ₹)?
- 13.A rectangular field is 13 m long and 6 m wide. What is its area (in sq m)?
- 14.A triangle has a base of 20 cm and a height of 6 cm. What is its area (in sq cm)?
- 15.The perimeter of a square is 24 cm. What is its area (in sq cm)?
- 16.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
- 17.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its perimeter (in cm)?
- 18.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its perimeter (in cm)?
- 19.A triangle has a base of 12 cm and a height of 11 cm. What is its area (in sq cm)?
- 20.A garden is 34 m long and 23 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 21.A rectangular field is 8 m long and 3 m wide. What is its area (in sq m)?
- 22.A rectangular field is 10 m long and 7 m wide. What is its area (in sq m)?
- 23.A rectangular field is 12 m long and 3 m wide. What is its area (in sq m)?
- 24.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 25.A garden is 38 m long and 25 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 26.A park is 53 m long and 8 m wide. Fencing costs ₹29 per metre. What does it cost to fence the park all round (in ₹)?
- 27.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 28.A rectangle has an area of 1280 sq cm and a length of 40 cm. What is its perimeter (in cm)?
- 29.A park is 14 m long and 13 m wide. Fencing costs ₹24 per metre. What does it cost to fence the park all round (in ₹)?
- 30.A park is 24 m long and 9 m wide. Fencing costs ₹15 per metre. What does it cost to fence the park all round (in ₹)?
- 31.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)?
- 32.A triangle has a base of 5 cm and a height of 18 cm. What is its area (in sq cm)?
- 33.A park is 43 m long and 22 m wide. Fencing costs ₹15 per metre. What does it cost to fence the park all round (in ₹)?
- 34.The perimeter of a square is 96 cm. What is its area (in sq cm)?
- 35.A rectangular field is 6 m long and 3 m wide. What is its area (in sq m)?
- 36.The perimeter of a square is 76 cm. What is its area (in sq cm)?
- 37.The perimeter of a square is 108 cm. What is its area (in sq cm)?
- 38.A triangle has a base of 7 cm and a height of 16 cm. What is its area (in sq cm)?
- 39.A garden is 30 m long and 29 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 40.A park is 17 m long and 16 m wide. Fencing costs ₹27 per metre. What does it cost to fence the park all round (in ₹)?
Answer key
- 114
- 625
- 132
- 544
- 154
- 44
- 88
- 64
- 66
- 44
- 441
- 624
- 78
- 60
- 36
- 220
- 48
- 36
- 66
- 118
- 24
- 70
- 36
- 1386
- 268
- 3538
- 2464
- 144
- 1296
- 990
- 198
- 45
- 1950
- 576
- 18
- 361
- 729
- 56
- 390
- 1782
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