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 rectangular field is 35 m long and 17 m wide. What is its area (in sq m)?
- 2.A garden is 34 m long and 27 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 3.A rectangular field is 9 m long and 8 m wide. What is its area (in sq m)?
- 4.A rectangular field is 5 m long and 4 m wide. What is its area (in sq m)?
- 5.A garden is 10 m long and 6 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 6.A rectangular field is 34 m long and 30 m wide. What is its area (in sq m)?
- 7.The perimeter of a square is 20 cm. What is its area (in sq cm)?
- 8.A triangle has a base of 10 cm and a height of 24 cm. What is its area (in sq cm)?
- 9.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
- 10.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its perimeter (in cm)?
- 11.The perimeter of a square is 28 cm. What is its area (in sq cm)?
- 12.A triangle has a base of 17 cm and a height of 24 cm. What is its area (in sq cm)?
- 13.A rectangular field is 30 m long and 5 m wide. What is its area (in sq m)?
- 14.A rectangle has an area of 1400 sq cm and a length of 40 cm. What is its perimeter (in cm)?
- 15.The perimeter of a square is 16 cm. What is its area (in sq cm)?
- 16.The perimeter of a square is 108 cm. What is its area (in sq cm)?
- 17.The perimeter of a square is 32 cm. What is its area (in sq cm)?
- 18.A park is 53 m long and 44 m wide. Fencing costs ₹38 per metre. What does it cost to fence the park all round (in ₹)?
- 19.A park is 39 m long and 7 m wide. Fencing costs ₹12 per metre. What does it cost to fence the park all round (in ₹)?
- 20.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
- 21.A park is 44 m long and 8 m wide. Fencing costs ₹15 per metre. What does it cost to fence the park all round (in ₹)?
- 22.The perimeter of a square is 116 cm. What is its area (in sq cm)?
- 23.A rectangle has an area of 945 sq cm and a length of 35 cm. What is its perimeter (in cm)?
- 24.A garden is 32 m long and 8 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 25.A park is 10 m long and 8 m wide. Fencing costs ₹15 per metre. What does it cost to fence the park all round (in ₹)?
- 26.A park is 22 m long and 5 m wide. Fencing costs ₹15 per metre. What does it cost to fence the park all round (in ₹)?
- 27.A park is 54 m long and 30 m wide. Fencing costs ₹7 per metre. What does it cost to fence the park all round (in ₹)?
- 28.A triangle has a base of 17 cm and a height of 12 cm. What is its area (in sq cm)?
- 29.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its perimeter (in cm)?
- 30.The perimeter of a square is 64 cm. What is its area (in sq cm)?
- 31.A rectangular field is 8 m long and 6 m wide. What is its area (in sq m)?
- 32.A rectangular field is 28 m long and 12 m wide. What is its area (in sq m)?
- 33.A park is 46 m long and 28 m wide. Fencing costs ₹13 per metre. What does it cost to fence the park all round (in ₹)?
- 34.A garden is 39 m long and 34 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 35.The perimeter of a square is 52 cm. What is its area (in sq cm)?
- 36.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
- 37.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 38.A rectangle has an area of 480 sq cm and a length of 24 cm. What is its perimeter (in cm)?
- 39.A rectangle has an area of 360 sq cm and a length of 24 cm. What is its perimeter (in cm)?
- 40.A rectangular field is 10 m long and 6 m wide. What is its area (in sq m)?
Answer key
- 595
- 402
- 72
- 20
- 132
- 1020
- 25
- 120
- 176
- 44
- 49
- 204
- 150
- 150
- 16
- 729
- 64
- 7372
- 1104
- 220
- 1560
- 841
- 124
- 84
- 540
- 810
- 1176
- 102
- 44
- 256
- 48
- 336
- 1924
- 308
- 169
- 264
- 88
- 88
- 78
- 60
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