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 round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
- 2.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 3.A garden is 29 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)?
- 4.A garden is 21 m long and 16 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 5.The perimeter of a square is 16 cm. What is its area (in sq cm)?
- 6.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 7.A round wheel has a radius of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 8.A garden is 39 m long and 10 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 9.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 10.A garden is 40 m long and 14 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 11.A garden is 32 m long and 17 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 12.A triangle has a base of 5 cm and a height of 8 cm. What is its area (in sq cm)?
- 13.A rectangle has an area of 310 sq cm and a length of 31 cm. What is its perimeter (in cm)?
- 14.The perimeter of a square is 108 cm. What is its area (in sq cm)?
- 15.The perimeter of a square is 112 cm. What is its area (in sq cm)?
- 16.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 17.A park is 59 m long and 14 m wide. Fencing costs ₹24 per metre. What does it cost to fence the park all round (in ₹)?
- 18.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 19.A rectangle has an area of 1240 sq cm and a length of 40 cm. What is its perimeter (in cm)?
- 20.A triangle has a base of 21 cm and a height of 24 cm. What is its area (in sq cm)?
- 21.A rectangular field is 5 m long and 4 m wide. What is its area (in sq m)?
- 22.A park is 12 m long and 9 m wide. Fencing costs ₹35 per metre. What does it cost to fence the park all round (in ₹)?
- 23.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
- 24.A park is 21 m long and 8 m wide. Fencing costs ₹23 per metre. What does it cost to fence the park all round (in ₹)?
- 25.A triangle has a base of 12 cm and a height of 25 cm. What is its area (in sq cm)?
- 26.The perimeter of a square is 80 cm. What is its area (in sq cm)?
- 27.A rectangular field is 31 m long and 4 m wide. What is its area (in sq m)?
- 28.A rectangular field is 39 m long and 32 m wide. What is its area (in sq m)?
- 29.A triangle has a base of 22 cm and a height of 22 cm. What is its area (in sq cm)?
- 30.A garden is 12 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)?
- 31.A rectangular field is 20 m long and 8 m wide. What is its area (in sq m)?
- 32.A triangle has a base of 12 cm and a height of 24 cm. What is its area (in sq cm)?
- 33.A garden is 25 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)?
- 34.A park is 31 m long and 28 m wide. Fencing costs ₹7 per metre. What does it cost to fence the park all round (in ₹)?
- 35.A rectangular field is 21 m long and 4 m wide. What is its area (in sq m)?
- 36.A rectangular field is 17 m long and 6 m wide. What is its area (in sq m)?
- 37.A rectangle has an area of 416 sq cm and a length of 26 cm. What is its perimeter (in cm)?
- 38.A garden is 36 m long and 9 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 39.A rectangular field is 25 m long and 13 m wide. What is its area (in sq m)?
- 40.A park is 35 m long and 18 m wide. Fencing costs ₹36 per metre. What does it cost to fence the park all round (in ₹)?
Answer key
- 264
- 616
- 74
- 258
- 16
- 264
- 176
- 330
- 132
- 112
- 330
- 20
- 82
- 729
- 784
- 1386
- 3504
- 2464
- 142
- 252
- 20
- 1470
- 132
- 1334
- 150
- 400
- 124
- 1248
- 242
- 44
- 160
- 144
- 70
- 826
- 84
- 102
- 84
- 94
- 325
- 3816
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