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 120 cm. What is its area (in sq cm)?
- 2.A park is 40 m long and 35 m wide. Fencing costs ₹29 per metre. What does it cost to fence the park all round (in ₹)?
- 3.A garden is 35 m long and 31 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 4.A park is 19 m long and 18 m wide. Fencing costs ₹19 per metre. What does it cost to fence the park all round (in ₹)?
- 5.A triangle has a base of 8 cm and a height of 7 cm. What is its area (in sq cm)?
- 6.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 7.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its perimeter (in cm)?
- 8.A rectangular field is 25 m long and 17 m wide. What is its area (in sq m)?
- 9.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 10.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
- 11.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its perimeter (in cm)?
- 12.A triangle has a base of 9 cm and a height of 8 cm. What is its area (in sq cm)?
- 13.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 14.A rectangular field is 14 m long and 12 m wide. What is its area (in sq m)?
- 15.A rectangular field is 28 m long and 6 m wide. What is its area (in sq m)?
- 16.A rectangular field is 10 m long and 9 m wide. What is its area (in sq m)?
- 17.A triangle has a base of 18 cm and a height of 25 cm. What is its area (in sq cm)?
- 18.A round wheel has a radius of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 19.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 20.A rectangle has an area of 128 sq cm and a length of 32 cm. What is its perimeter (in cm)?
- 21.A garden is 30 m long and 29 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 22.A garden is 40 m long and 17 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 23.The perimeter of a square is 84 cm. What is its area (in sq cm)?
- 24.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its perimeter (in cm)?
- 25.A rectangular field is 26 m long and 10 m wide. What is its area (in sq m)?
- 26.A rectangle has an area of 375 sq cm and a length of 25 cm. What is its perimeter (in cm)?
- 27.A rectangular field is 38 m long and 5 m wide. What is its area (in sq m)?
- 28.A triangle has a base of 15 cm and a height of 14 cm. What is its area (in sq cm)?
- 29.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 30.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 31.A park is 40 m long and 6 m wide. Fencing costs ₹26 per metre. What does it cost to fence the park all round (in ₹)?
- 32.A rectangular field is 18 m long and 7 m wide. What is its area (in sq m)?
- 33.A triangle has a base of 4 cm and a height of 6 cm. What is its area (in sq cm)?
- 34.A garden is 30 m long and 13 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 35.A rectangular field is 17 m long and 7 m wide. What is its area (in sq m)?
- 36.A rectangular field is 7 m long and 5 m wide. What is its area (in sq m)?
- 37.A rectangular field is 21 m long and 9 m wide. What is its area (in sq m)?
- 38.A garden is 30 m long and 29 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 39.The perimeter of a square is 44 cm. What is its area (in sq cm)?
- 40.The perimeter of a square is 64 cm. What is its area (in sq cm)?
Answer key
- 900
- 4350
- 136
- 1406
- 28
- 44
- 18
- 425
- 616
- 264
- 26
- 36
- 154
- 168
- 168
- 90
- 225
- 176
- 1386
- 72
- 252
- 118
- 441
- 28
- 260
- 80
- 190
- 105
- 2464
- 88
- 2392
- 126
- 12
- 294
- 119
- 35
- 189
- 122
- 121
- 256
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