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 round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 2.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 3.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 4.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 5.A garden is 33 m long and 22 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 6.The perimeter of a square is 16 cm. What is its area (in sq cm)?
- 7.A rectangular field is 33 m long and 23 m wide. What is its area (in sq m)?
- 8.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 9.A park is 55 m long and 32 m wide. Fencing costs ₹15 per metre. What does it cost to fence the park all round (in ₹)?
- 10.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 11.The perimeter of a square is 28 cm. What is its area (in sq cm)?
- 12.A rectangular field is 18 m long and 5 m wide. What is its area (in sq m)?
- 13.A park is 31 m long and 25 m wide. Fencing costs ₹36 per metre. What does it cost to fence the park all round (in ₹)?
- 14.A garden is 40 m long and 18 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 15.A rectangular field is 9 m long and 5 m wide. What is its area (in sq m)?
- 16.A rectangular field is 10 m long and 3 m wide. What is its area (in sq m)?
- 17.A triangle has a base of 8 cm and a height of 7 cm. What is its area (in sq cm)?
- 18.A park is 52 m long and 35 m wide. Fencing costs ₹13 per metre. What does it cost to fence the park all round (in ₹)?
- 19.The perimeter of a square is 32 cm. What is its area (in sq cm)?
- 20.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its perimeter (in cm)?
- 21.A rectangular field is 21 m long and 16 m wide. What is its area (in sq m)?
- 22.A park is 20 m long and 13 m wide. Fencing costs ₹20 per metre. What does it cost to fence the park all round (in ₹)?
- 23.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its perimeter (in cm)?
- 24.A garden is 25 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)?
- 25.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
- 26.A garden is 25 m long and 12 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 27.A garden is 12 m long and 8 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 28.A triangle has a base of 25 cm and a height of 10 cm. What is its area (in sq cm)?
- 29.A garden is 31 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)?
- 30.A triangle has a base of 18 cm and a height of 3 cm. What is its area (in sq cm)?
- 31.A rectangular field is 14 m long and 4 m wide. What is its area (in sq m)?
- 32.A rectangular field is 8 m long and 7 m wide. What is its area (in sq m)?
- 33.A garden is 23 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)?
- 34.A rectangle has an area of 270 sq cm and a length of 30 cm. What is its perimeter (in cm)?
- 35.The perimeter of a square is 92 cm. What is its area (in sq cm)?
- 36.A triangle has a base of 24 cm and a height of 19 cm. What is its area (in sq cm)?
- 37.A garden is 26 m long and 13 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 38.A park is 14 m long and 6 m wide. Fencing costs ₹23 per metre. What does it cost to fence the park all round (in ₹)?
- 39.A rectangular field is 11 m long and 3 m wide. What is its area (in sq m)?
- 40.A park is 10 m long and 7 m wide. Fencing costs ₹30 per metre. What does it cost to fence the park all round (in ₹)?
Answer key
- 264
- 616
- 88
- 44
- 236
- 16
- 759
- 88
- 2610
- 2464
- 49
- 90
- 4032
- 120
- 45
- 30
- 28
- 2262
- 64
- 50
- 336
- 1320
- 30
- 136
- 264
- 164
- 96
- 125
- 372
- 27
- 56
- 56
- 184
- 78
- 529
- 228
- 82
- 920
- 33
- 1020
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