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 garden is 39 m long and 38 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 2.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its perimeter (in cm)?
- 3.A rectangle has an area of 306 sq cm and a length of 34 cm. What is its perimeter (in cm)?
- 4.A rectangle has an area of 800 sq cm and a length of 40 cm. What is its perimeter (in cm)?
- 5.A park is 43 m long and 35 m wide. Fencing costs ₹32 per metre. What does it cost to fence the park all round (in ₹)?
- 6.The perimeter of a square is 64 cm. What is its area (in sq cm)?
- 7.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its perimeter (in cm)?
- 8.A park is 17 m long and 16 m wide. Fencing costs ₹18 per metre. What does it cost to fence the park all round (in ₹)?
- 9.A garden is 35 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)?
- 10.A rectangular field is 29 m long and 20 m wide. What is its area (in sq m)?
- 11.A triangle has a base of 8 cm and a height of 19 cm. What is its area (in sq cm)?
- 12.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
- 13.A rectangular field is 20 m long and 5 m wide. What is its area (in sq m)?
- 14.The perimeter of a square is 116 cm. What is its area (in sq cm)?
- 15.A rectangle has an area of 957 sq cm and a length of 33 cm. What is its perimeter (in cm)?
- 16.A park is 15 m long and 5 m wide. Fencing costs ₹11 per metre. What does it cost to fence the park all round (in ₹)?
- 17.A park is 33 m long and 19 m wide. Fencing costs ₹11 per metre. What does it cost to fence the park all round (in ₹)?
- 18.A park is 54 m long and 18 m wide. Fencing costs ₹7 per metre. What does it cost to fence the park all round (in ₹)?
- 19.A rectangle has an area of 175 sq cm and a length of 35 cm. What is its perimeter (in cm)?
- 20.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 21.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 22.A triangle has a base of 21 cm and a height of 6 cm. What is its area (in sq cm)?
- 23.A rectangular field is 14 m long and 4 m wide. What is its area (in sq m)?
- 24.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its perimeter (in cm)?
- 25.A rectangle has an area of 621 sq cm and a length of 27 cm. What is its perimeter (in cm)?
- 26.The perimeter of a square is 20 cm. What is its area (in sq cm)?
- 27.The perimeter of a square is 16 cm. What is its area (in sq cm)?
- 28.A park is 16 m long and 12 m wide. Fencing costs ₹35 per metre. What does it cost to fence the park all round (in ₹)?
- 29.A park is 42 m long and 12 m wide. Fencing costs ₹33 per metre. What does it cost to fence the park all round (in ₹)?
- 30.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
- 31.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 32.A rectangle has an area of 78 sq cm and a length of 26 cm. What is its perimeter (in cm)?
- 33.A triangle has a base of 28 cm and a height of 25 cm. What is its area (in sq cm)?
- 34.A park is 25 m long and 22 m wide. Fencing costs ₹22 per metre. What does it cost to fence the park all round (in ₹)?
- 35.A rectangular field is 35 m long and 19 m wide. What is its area (in sq m)?
- 36.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
- 37.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its perimeter (in cm)?
- 38.A park is 35 m long and 24 m wide. Fencing costs ₹33 per metre. What does it cost to fence the park all round (in ₹)?
- 39.A garden is 22 m long and 17 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 40.A rectangle has an area of 120 sq cm and a length of 30 cm. What is its perimeter (in cm)?
Answer key
- 498
- 28
- 86
- 120
- 4992
- 256
- 46
- 1188
- 90
- 580
- 76
- 176
- 100
- 841
- 124
- 440
- 1144
- 1008
- 80
- 154
- 1386
- 63
- 56
- 52
- 100
- 25
- 16
- 1960
- 3564
- 220
- 616
- 58
- 350
- 2068
- 665
- 44
- 18
- 3894
- 172
- 68
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