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 24 m long and 21 m wide. What is its area (in sq m)?
- 2.A rectangle has an area of 429 sq cm and a length of 39 cm. What is its perimeter (in cm)?
- 3.The perimeter of a square is 48 cm. What is its area (in sq cm)?
- 4.A garden is 10 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)?
- 5.The perimeter of a square is 32 cm. What is its area (in sq cm)?
- 6.A garden is 16 m long and 7 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 7.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
- 8.A garden is 15 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)?
- 9.A park is 56 m long and 46 m wide. Fencing costs ₹22 per metre. What does it cost to fence the park all round (in ₹)?
- 10.A rectangular field is 39 m long and 4 m wide. What is its area (in sq m)?
- 11.A rectangle has an area of 1116 sq cm and a length of 36 cm. What is its perimeter (in cm)?
- 12.A rectangular field is 28 m long and 7 m wide. What is its area (in sq m)?
- 13.A park is 36 m long and 23 m wide. Fencing costs ₹30 per metre. What does it cost to fence the park all round (in ₹)?
- 14.A rectangle has an area of 368 sq cm and a length of 23 cm. What is its perimeter (in cm)?
- 15.A rectangular field is 38 m long and 3 m wide. What is its area (in sq m)?
- 16.A triangle has a base of 22 cm and a height of 19 cm. What is its area (in sq cm)?
- 17.A rectangle has an area of 528 sq cm and a length of 33 cm. What is its perimeter (in cm)?
- 18.A rectangular field is 34 m long and 5 m wide. What is its area (in sq m)?
- 19.A triangle has a base of 26 cm and a height of 18 cm. What is its area (in sq cm)?
- 20.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 21.A triangle has a base of 6 cm and a height of 3 cm. What is its area (in sq cm)?
- 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 24 cm and a height of 17 cm. What is its area (in sq cm)?
- 24.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
- 25.A garden is 10 m long and 7 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 26.A rectangle has an area of 279 sq cm and a length of 31 cm. What is its perimeter (in cm)?
- 27.A rectangular field is 33 m long and 17 m wide. What is its area (in sq m)?
- 28.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its perimeter (in cm)?
- 29.A triangle has a base of 28 cm and a height of 14 cm. What is its area (in sq cm)?
- 30.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
- 31.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 32.The perimeter of a square is 24 cm. What is its area (in sq cm)?
- 33.The perimeter of a square is 84 cm. What is its area (in sq cm)?
- 34.A garden is 40 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)?
- 35.A triangle has a base of 24 cm and a height of 23 cm. What is its area (in sq cm)?
- 36.The perimeter of a square is 56 cm. What is its area (in sq cm)?
- 37.A triangle has a base of 16 cm and a height of 7 cm. What is its area (in sq cm)?
- 38.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 39.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its perimeter (in cm)?
- 40.A rectangular field is 6 m long and 3 m wide. What is its area (in sq m)?
Answer key
- 504
- 100
- 144
- 84
- 64
- 174
- 132
- 60
- 4488
- 156
- 134
- 196
- 3540
- 78
- 114
- 209
- 98
- 170
- 234
- 616
- 9
- 154
- 204
- 44
- 138
- 80
- 561
- 50
- 196
- 264
- 88
- 36
- 441
- 264
- 276
- 196
- 56
- 1386
- 50
- 18
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