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 40 m long and 17 m wide. What is its area (in sq m)?
- 2.A rectangular field is 31 m long and 29 m wide. What is its area (in sq m)?
- 3.The perimeter of a square is 68 cm. What is its area (in sq cm)?
- 4.A park is 28 m long and 22 m wide. Fencing costs ₹9 per metre. What does it cost to fence the park all round (in ₹)?
- 5.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
- 6.A park is 38 m long and 12 m wide. Fencing costs ₹8 per metre. What does it cost to fence the park all round (in ₹)?
- 7.The perimeter of a square is 96 cm. What is its area (in sq cm)?
- 8.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its perimeter (in cm)?
- 9.A rectangular field is 28 m long and 24 m wide. What is its area (in sq m)?
- 10.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
- 11.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its perimeter (in cm)?
- 12.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 13.A rectangular field is 18 m long and 9 m wide. What is its area (in sq m)?
- 14.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its perimeter (in cm)?
- 15.The perimeter of a square is 88 cm. What is its area (in sq cm)?
- 16.The perimeter of a square is 116 cm. What is its area (in sq cm)?
- 17.A rectangle has an area of 594 sq cm and a length of 27 cm. What is its perimeter (in cm)?
- 18.A rectangular field is 6 m long and 4 m wide. What is its area (in sq m)?
- 19.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its perimeter (in cm)?
- 20.A park is 15 m long and 6 m wide. Fencing costs ₹34 per metre. What does it cost to fence the park all round (in ₹)?
- 21.A garden is 38 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)?
- 22.A park is 59 m long and 7 m wide. Fencing costs ₹35 per metre. What does it cost to fence the park all round (in ₹)?
- 23.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 24.A triangle has a base of 14 cm and a height of 23 cm. What is its area (in sq cm)?
- 25.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 26.A rectangle has an area of 520 sq cm and a length of 26 cm. What is its perimeter (in cm)?
- 27.A triangle has a base of 5 cm and a height of 18 cm. What is its area (in sq cm)?
- 28.A garden is 29 m long and 22 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 29.A rectangular field is 39 m long and 16 m wide. What is its area (in sq m)?
- 30.A garden is 34 m long and 12 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 31.A triangle has a base of 12 cm and a height of 20 cm. What is its area (in sq cm)?
- 32.A triangle has a base of 8 cm and a height of 24 cm. What is its area (in sq cm)?
- 33.A park is 54 m long and 39 m wide. Fencing costs ₹6 per metre. What does it cost to fence the park all round (in ₹)?
- 34.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its perimeter (in cm)?
- 35.A triangle has a base of 4 cm and a height of 6 cm. What is its area (in sq cm)?
- 36.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its perimeter (in cm)?
- 37.A triangle has a base of 30 cm and a height of 25 cm. What is its area (in sq cm)?
- 38.A triangle has a base of 6 cm and a height of 17 cm. What is its area (in sq cm)?
- 39.A park is 50 m long and 30 m wide. Fencing costs ₹12 per metre. What does it cost to fence the park all round (in ₹)?
- 40.A park is 27 m long and 10 m wide. Fencing costs ₹11 per metre. What does it cost to fence the park all round (in ₹)?
Answer key
- 680
- 899
- 289
- 900
- 44
- 800
- 576
- 52
- 672
- 176
- 36
- 2464
- 162
- 18
- 484
- 841
- 98
- 24
- 18
- 1428
- 96
- 4620
- 154
- 161
- 1386
- 92
- 45
- 106
- 624
- 96
- 120
- 96
- 1116
- 22
- 12
- 22
- 375
- 51
- 1920
- 814
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