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 23 m long and 13 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 2.A rectangle has an area of 96 sq cm and a length of 24 cm. What is its perimeter (in cm)?
- 3.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 4.A rectangular field is 9 m long and 8 m wide. What is its area (in sq m)?
- 5.A park is 18 m long and 15 m wide. Fencing costs ₹31 per metre. What does it cost to fence the park all round (in ₹)?
- 6.A park is 18 m long and 13 m wide. Fencing costs ₹11 per metre. What does it cost to fence the park all round (in ₹)?
- 7.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its perimeter (in cm)?
- 8.A garden is 35 m long and 7 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 9.A park is 27 m long and 7 m wide. Fencing costs ₹23 per metre. What does it cost to fence the park all round (in ₹)?
- 10.A rectangular field is 39 m long and 6 m wide. What is its area (in sq m)?
- 11.A rectangular field is 6 m long and 3 m wide. What is its area (in sq m)?
- 12.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 13.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its perimeter (in cm)?
- 14.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
- 15.A rectangular field is 25 m long and 9 m wide. What is its area (in sq m)?
- 16.A rectangle has an area of 90 sq cm and a length of 30 cm. What is its perimeter (in cm)?
- 17.A rectangle has an area of 240 sq cm and a length of 16 cm. What is its perimeter (in cm)?
- 18.A triangle has a base of 9 cm and a height of 4 cm. What is its area (in sq cm)?
- 19.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its perimeter (in cm)?
- 20.A rectangular field is 40 m long and 32 m wide. What is its area (in sq m)?
- 21.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 22.A rectangle has an area of 425 sq cm and a length of 25 cm. What is its perimeter (in cm)?
- 23.A rectangular field is 33 m long and 19 m wide. What is its area (in sq m)?
- 24.A rectangle has an area of 925 sq cm and a length of 37 cm. What is its perimeter (in cm)?
- 25.A triangle has a base of 19 cm and a height of 24 cm. What is its area (in sq cm)?
- 26.A garden is 10 m long and 8 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 27.The perimeter of a square is 68 cm. What is its area (in sq cm)?
- 28.A garden is 23 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)?
- 29.The perimeter of a square is 72 cm. What is its area (in sq cm)?
- 30.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 31.A triangle has a base of 18 cm and a height of 22 cm. What is its area (in sq cm)?
- 32.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
- 33.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 34.A rectangular field is 14 m long and 10 m wide. What is its area (in sq m)?
- 35.A garden is 14 m long and 6 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 36.The perimeter of a square is 96 cm. What is its area (in sq cm)?
- 37.A park is 22 m long and 20 m wide. Fencing costs ₹12 per metre. What does it cost to fence the park all round (in ₹)?
- 38.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its perimeter (in cm)?
- 39.A triangle has a base of 8 cm and a height of 6 cm. What is its area (in sq cm)?
- 40.A rectangular field is 38 m long and 14 m wide. What is its area (in sq m)?
Answer key
- 76
- 56
- 154
- 72
- 2046
- 682
- 40
- 288
- 1564
- 234
- 18
- 44
- 34
- 220
- 225
- 66
- 62
- 18
- 34
- 1280
- 2464
- 84
- 627
- 124
- 228
- 144
- 289
- 176
- 324
- 616
- 198
- 220
- 88
- 140
- 156
- 576
- 1008
- 18
- 24
- 532
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