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 triangle has a base of 20 cm and a height of 7 cm. What is its area (in sq cm)?
- 2.A rectangular field is 13 m long and 3 m wide. What is its area (in sq m)?
- 3.A garden is 19 m long and 9 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 4.The perimeter of a square is 96 cm. What is its area (in sq cm)?
- 5.A triangle has a base of 6 cm and a height of 20 cm. What is its area (in sq cm)?
- 6.The perimeter of a square is 108 cm. What is its area (in sq cm)?
- 7.The perimeter of a square is 12 cm. What is its area (in sq cm)?
- 8.The perimeter of a square is 112 cm. What is its area (in sq cm)?
- 9.A park is 59 m long and 51 m wide. Fencing costs ₹20 per metre. What does it cost to fence the park all round (in ₹)?
- 10.A triangle has a base of 13 cm and a height of 20 cm. What is its area (in sq cm)?
- 11.A park is 17 m long and 7 m wide. Fencing costs ₹8 per metre. What does it cost to fence the park all round (in ₹)?
- 12.A triangle has a base of 12 cm and a height of 22 cm. What is its area (in sq cm)?
- 13.A triangle has a base of 30 cm and a height of 14 cm. What is its area (in sq cm)?
- 14.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 15.A rectangle has an area of 418 sq cm and a length of 38 cm. What is its perimeter (in cm)?
- 16.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 17.A rectangular field is 10 m long and 9 m wide. What is its area (in sq m)?
- 18.A garden is 31 m long and 28 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 19.The perimeter of a square is 36 cm. What is its area (in sq cm)?
- 20.A garden is 16 m long and 9 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 21.A rectangle has an area of 696 sq cm and a length of 29 cm. What is its perimeter (in cm)?
- 22.A park is 31 m long and 26 m wide. Fencing costs ₹7 per metre. What does it cost to fence the park all round (in ₹)?
- 23.A park is 37 m long and 22 m wide. Fencing costs ₹30 per metre. What does it cost to fence the park all round (in ₹)?
- 24.A rectangle has an area of 75 sq cm and a length of 15 cm. What is its perimeter (in cm)?
- 25.A park is 56 m long and 45 m wide. Fencing costs ₹19 per metre. What does it cost to fence the park all round (in ₹)?
- 26.A rectangle has an area of 78 sq cm and a length of 13 cm. What is its perimeter (in cm)?
- 27.The perimeter of a square is 16 cm. What is its area (in sq cm)?
- 28.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
- 29.A garden is 34 m long and 25 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 30.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its perimeter (in cm)?
- 31.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
- 32.A rectangular field is 7 m long and 3 m wide. What is its area (in sq m)?
- 33.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 34.A triangle has a base of 13 cm and a height of 14 cm. What is its area (in sq cm)?
- 35.A rectangular field is 16 m long and 12 m wide. What is its area (in sq m)?
- 36.A rectangle has an area of 72 sq cm and a length of 24 cm. What is its perimeter (in cm)?
- 37.A park is 24 m long and 5 m wide. Fencing costs ₹16 per metre. What does it cost to fence the park all round (in ₹)?
- 38.A rectangular field is 27 m long and 18 m wide. What is its area (in sq m)?
- 39.A rectangle has an area of 506 sq cm and a length of 23 cm. What is its perimeter (in cm)?
- 40.A rectangle has an area of 592 sq cm and a length of 37 cm. What is its perimeter (in cm)?
Answer key
- 70
- 39
- 204
- 576
- 60
- 729
- 9
- 784
- 4400
- 130
- 384
- 132
- 210
- 616
- 98
- 88
- 90
- 122
- 81
- 116
- 106
- 798
- 3540
- 40
- 3838
- 38
- 16
- 44
- 122
- 24
- 220
- 21
- 44
- 91
- 192
- 54
- 928
- 486
- 90
- 106
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