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 park is 19 m long and 9 m wide. Fencing costs ₹11 per metre. What does it cost to fence the park all round (in ₹)?
- 2.A park is 56 m long and 31 m wide. Fencing costs ₹7 per metre. What does it cost to fence the park all round (in ₹)?
- 3.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 4.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 5.The perimeter of a square is 108 cm. What is its area (in sq cm)?
- 6.A rectangle has an area of 24 sq cm and a length of 6 cm. What is its perimeter (in cm)?
- 7.A rectangle has an area of 186 sq cm and a length of 31 cm. What is its perimeter (in cm)?
- 8.A triangle has a base of 24 cm and a height of 12 cm. What is its area (in sq cm)?
- 9.A rectangle has an area of 450 sq cm and a length of 25 cm. What is its perimeter (in cm)?
- 10.The perimeter of a square is 52 cm. What is its area (in sq cm)?
- 11.A triangle has a base of 7 cm and a height of 4 cm. What is its area (in sq cm)?
- 12.A triangle has a base of 5 cm and a height of 16 cm. What is its area (in sq cm)?
- 13.A rectangular field is 33 m long and 22 m wide. What is its area (in sq m)?
- 14.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
- 15.A triangle has a base of 29 cm and a height of 20 cm. What is its area (in sq cm)?
- 16.A garden is 23 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)?
- 17.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 18.A triangle has a base of 5 cm and a height of 20 cm. What is its area (in sq cm)?
- 19.A rectangular field is 37 m long and 13 m wide. What is its area (in sq m)?
- 20.A triangle has a base of 29 cm and a height of 6 cm. What is its area (in sq cm)?
- 21.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
- 22.A garden is 10 m long and 6 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 23.A triangle has a base of 30 cm and a height of 15 cm. What is its area (in sq cm)?
- 24.A triangle has a base of 18 cm and a height of 15 cm. What is its area (in sq cm)?
- 25.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 26.A park is 53 m long and 40 m wide. Fencing costs ₹30 per metre. What does it cost to fence the park all round (in ₹)?
- 27.A rectangle has an area of 126 sq cm and a length of 21 cm. What is its perimeter (in cm)?
- 28.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its perimeter (in cm)?
- 29.A triangle has a base of 28 cm and a height of 20 cm. What is its area (in sq cm)?
- 30.A triangle has a base of 29 cm and a height of 16 cm. What is its area (in sq cm)?
- 31.A rectangular field is 11 m long and 5 m wide. What is its area (in sq m)?
- 32.A rectangle has an area of 442 sq cm and a length of 34 cm. What is its perimeter (in cm)?
- 33.A triangle has a base of 30 cm and a height of 25 cm. What is its area (in sq cm)?
- 34.A rectangle has an area of 550 sq cm and a length of 25 cm. What is its perimeter (in cm)?
- 35.A garden is 27 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)?
- 36.A garden is 34 m long and 26 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 37.A garden is 10 m long and 8 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 38.A park is 19 m long and 6 m wide. Fencing costs ₹34 per metre. What does it cost to fence the park all round (in ₹)?
- 39.A triangle has a base of 14 cm and a height of 13 cm. What is its area (in sq cm)?
- 40.A garden is 11 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)?
Answer key
- 616
- 1218
- 2464
- 154
- 729
- 20
- 74
- 144
- 86
- 169
- 14
- 40
- 726
- 264
- 290
- 68
- 132
- 50
- 481
- 87
- 44
- 80
- 225
- 135
- 88
- 5580
- 54
- 32
- 280
- 232
- 55
- 94
- 375
- 94
- 76
- 124
- 88
- 1700
- 91
- 42
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