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.The perimeter of a square is 12 cm. What is its area (in sq cm)?
- 2.A park is 27 m long and 7 m wide. Fencing costs ₹39 per metre. What does it cost to fence the park all round (in ₹)?
- 3.The perimeter of a square is 72 cm. What is its area (in sq cm)?
- 4.A triangle has a base of 22 cm and a height of 5 cm. What is its area (in sq cm)?
- 5.A rectangular field is 6 m long and 3 m wide. What is its area (in sq m)?
- 6.A triangle has a base of 28 cm and a height of 23 cm. What is its area (in sq 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 88 cm. What is its area (in sq cm)?
- 9.A rectangle has an area of 494 sq cm and a length of 38 cm. What is its perimeter (in cm)?
- 10.A rectangular field is 25 m long and 4 m wide. What is its area (in sq m)?
- 11.A rectangle has an area of 638 sq cm and a length of 29 cm. What is its perimeter (in cm)?
- 12.The perimeter of a square is 76 cm. What is its area (in sq cm)?
- 13.A garden is 36 m long and 6 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 14.A rectangle has an area of 760 sq cm and a length of 40 cm. What is its perimeter (in cm)?
- 15.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
- 16.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 17.A garden is 13 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)?
- 18.A park is 26 m long and 18 m wide. Fencing costs ₹16 per metre. What does it cost to fence the park all round (in ₹)?
- 19.The perimeter of a square is 52 cm. What is its area (in sq cm)?
- 20.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
- 21.A park is 23 m long and 17 m wide. Fencing costs ₹26 per metre. What does it cost to fence the park all round (in ₹)?
- 22.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 23.A triangle has a base of 14 cm and a height of 22 cm. What is its area (in sq cm)?
- 24.A triangle has a base of 23 cm and a height of 8 cm. What is its area (in sq cm)?
- 25.A park is 59 m long and 47 m wide. Fencing costs ₹29 per metre. What does it cost to fence the park all round (in ₹)?
- 26.A garden is 34 m long and 8 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 27.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
- 28.A garden is 37 m long and 10 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 29.A rectangle has an area of 55 sq cm and a length of 11 cm. What is its perimeter (in cm)?
- 30.A park is 35 m long and 21 m wide. Fencing costs ₹39 per metre. What does it cost to fence the park all round (in ₹)?
- 31.A park is 29 m long and 17 m wide. Fencing costs ₹5 per metre. What does it cost to fence the park all round (in ₹)?
- 32.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
- 33.The perimeter of a square is 24 cm. What is its area (in sq cm)?
- 34.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 35.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its perimeter (in cm)?
- 36.A garden is 15 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)?
- 37.A rectangle has an area of 308 sq cm and a length of 28 cm. What is its perimeter (in cm)?
- 38.A round wheel has a radius of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 39.A rectangular field is 19 m long and 3 m wide. What is its area (in sq m)?
- 40.A triangle has a base of 10 cm and a height of 23 cm. What is its area (in sq cm)?
Answer key
- 9
- 2652
- 324
- 55
- 18
- 322
- 88
- 484
- 102
- 100
- 102
- 361
- 88
- 118
- 220
- 1386
- 96
- 1408
- 169
- 220
- 2080
- 154
- 154
- 92
- 6148
- 288
- 132
- 204
- 32
- 4368
- 460
- 44
- 36
- 616
- 54
- 124
- 78
- 176
- 57
- 115
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