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 27 m long and 13 m wide. Fencing costs ₹19 per metre. What does it cost to fence the park all round (in ₹)?
- 2.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)?
- 3.A park is 59 m long and 53 m wide. Fencing costs ₹28 per metre. What does it cost to fence the park all round (in ₹)?
- 4.A rectangular field is 24 m long and 18 m wide. What is its area (in sq m)?
- 5.A garden is 25 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)?
- 6.A triangle has a base of 23 cm and a height of 16 cm. What is its area (in sq cm)?
- 7.A rectangle has an area of 96 sq cm and a length of 16 cm. What is its perimeter (in cm)?
- 8.The perimeter of a square is 12 cm. What is its area (in sq cm)?
- 9.A rectangular field is 12 m long and 8 m wide. What is its area (in sq m)?
- 10.A rectangular field is 29 m long and 16 m wide. What is its area (in sq m)?
- 11.A triangle has a base of 22 cm and a height of 17 cm. What is its area (in sq cm)?
- 12.A park is 46 m long and 7 m wide. Fencing costs ₹37 per metre. What does it cost to fence the park all round (in ₹)?
- 13.A rectangular field is 20 m long and 5 m wide. What is its area (in sq m)?
- 14.A park is 48 m long and 45 m wide. Fencing costs ₹40 per metre. What does it cost to fence the park all round (in ₹)?
- 15.A rectangle has an area of 558 sq cm and a length of 31 cm. What is its perimeter (in cm)?
- 16.A rectangular field is 9 m long and 8 m wide. What is its area (in sq m)?
- 17.A garden is 16 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)?
- 18.A rectangular field is 23 m long and 10 m wide. What is its area (in sq m)?
- 19.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
- 20.A rectangular field is 15 m long and 9 m wide. What is its area (in sq m)?
- 21.A park is 13 m long and 12 m wide. Fencing costs ₹16 per metre. What does it cost to fence the park all round (in ₹)?
- 22.A park is 50 m long and 32 m wide. Fencing costs ₹38 per metre. What does it cost to fence the park all round (in ₹)?
- 23.A park is 34 m long and 12 m wide. Fencing costs ₹11 per metre. What does it cost to fence the park all round (in ₹)?
- 24.A round wheel has a radius of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 25.A garden is 24 m long and 20 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 26.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
- 27.A triangle has a base of 6 cm and a height of 24 cm. What is its area (in sq cm)?
- 28.The perimeter of a square is 16 cm. What is its area (in sq cm)?
- 29.A garden is 30 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)?
- 30.A rectangular field is 10 m long and 9 m wide. What is its area (in sq m)?
- 31.A park is 47 m long and 37 m wide. Fencing costs ₹16 per metre. What does it cost to fence the park all round (in ₹)?
- 32.A rectangle has an area of 75 sq cm and a length of 25 cm. What is its perimeter (in cm)?
- 33.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 34.A rectangular field is 23 m long and 4 m wide. What is its area (in sq m)?
- 35.A triangle has a base of 4 cm and a height of 25 cm. What is its area (in sq cm)?
- 36.The perimeter of a square is 120 cm. What is its area (in sq cm)?
- 37.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 38.A triangle has a base of 26 cm and a height of 6 cm. What is its area (in sq cm)?
- 39.A rectangle has an area of 507 sq cm and a length of 39 cm. What is its perimeter (in cm)?
- 40.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
Answer key
- 1520
- 122
- 6272
- 432
- 282
- 184
- 44
- 9
- 96
- 464
- 187
- 3922
- 100
- 7440
- 98
- 72
- 104
- 230
- 264
- 135
- 800
- 6232
- 1012
- 176
- 300
- 132
- 72
- 16
- 168
- 90
- 2688
- 56
- 44
- 92
- 50
- 900
- 154
- 78
- 104
- 2464
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