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 9 m long and 8 m wide. What is its area (in sq m)?
- 2.A rectangle has an area of 405 sq cm and a length of 27 cm. What is its perimeter (in cm)?
- 3.A rectangle has an area of 145 sq cm and a length of 29 cm. What is its perimeter (in cm)?
- 4.A round wheel has a radius of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 5.A triangle has a base of 20 cm and a height of 21 cm. What is its area (in sq cm)?
- 6.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its perimeter (in cm)?
- 7.A rectangular field is 33 m long and 4 m wide. What is its area (in sq m)?
- 8.A rectangular field is 8 m long and 4 m wide. What is its area (in sq m)?
- 9.A triangle has a base of 23 cm and a height of 20 cm. What is its area (in sq cm)?
- 10.A rectangle has an area of 507 sq cm and a length of 39 cm. What is its perimeter (in cm)?
- 11.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 12.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 13.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 14.A garden is 35 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)?
- 15.A garden is 31 m long and 7 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 16.A park is 44 m long and 13 m wide. Fencing costs ₹40 per metre. What does it cost to fence the park all round (in ₹)?
- 17.A park is 38 m long and 26 m wide. Fencing costs ₹35 per metre. What does it cost to fence the park all round (in ₹)?
- 18.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 19.A park is 37 m long and 8 m wide. Fencing costs ₹31 per metre. What does it cost to fence the park all round (in ₹)?
- 20.A rectangular field is 37 m long and 36 m wide. What is its area (in sq m)?
- 21.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 22.The perimeter of a square is 96 cm. What is its area (in sq cm)?
- 23.The perimeter of a square is 72 cm. What is its area (in sq cm)?
- 24.The perimeter of a square is 36 cm. What is its area (in sq cm)?
- 25.The perimeter of a square is 92 cm. What is its area (in sq cm)?
- 26.A park is 22 m long and 18 m wide. Fencing costs ₹22 per metre. What does it cost to fence the park all round (in ₹)?
- 27.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its perimeter (in cm)?
- 28.The perimeter of a square is 32 cm. What is its area (in sq cm)?
- 29.A rectangle has an area of 594 sq cm and a length of 33 cm. What is its perimeter (in cm)?
- 30.A rectangle has an area of 147 sq cm and a length of 21 cm. What is its perimeter (in cm)?
- 31.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 32.A park is 10 m long and 5 m wide. Fencing costs ₹26 per metre. What does it cost to fence the park all round (in ₹)?
- 33.A rectangular field is 7 m long and 3 m wide. What is its area (in sq m)?
- 34.A rectangle has an area of 91 sq cm and a length of 13 cm. What is its perimeter (in cm)?
- 35.A rectangular field is 26 m long and 21 m wide. What is its area (in sq m)?
- 36.A park is 40 m long and 27 m wide. Fencing costs ₹26 per metre. What does it cost to fence the park all round (in ₹)?
- 37.A rectangle has an area of 425 sq cm and a length of 25 cm. What is its perimeter (in cm)?
- 38.A triangle has a base of 12 cm and a height of 8 cm. What is its area (in sq cm)?
- 39.A triangle has a base of 14 cm and a height of 21 cm. What is its area (in sq cm)?
- 40.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its perimeter (in cm)?
Answer key
- 72
- 84
- 68
- 176
- 210
- 30
- 132
- 32
- 230
- 104
- 2464
- 154
- 1386
- 118
- 168
- 4560
- 4480
- 88
- 2790
- 1332
- 264
- 576
- 324
- 81
- 529
- 1760
- 34
- 64
- 102
- 56
- 88
- 780
- 21
- 40
- 546
- 3484
- 84
- 48
- 147
- 22
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