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 rectangular field is 11 m long and 8 m wide. What is its area (in sq m)?
- 2.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 3.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
- 4.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
- 5.A park is 16 m long and 7 m wide. Fencing costs ₹37 per metre. What does it cost to fence the park all round (in ₹)?
- 6.The perimeter of a square is 28 cm. What is its area (in sq cm)?
- 7.A triangle has a base of 16 cm and a height of 15 cm. What is its area (in sq cm)?
- 8.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 9.The perimeter of a square is 56 cm. What is its area (in sq cm)?
- 10.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 11.A garden is 10 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)?
- 12.A park is 17 m long and 10 m wide. Fencing costs ₹7 per metre. What does it cost to fence the park all round (in ₹)?
- 13.A park is 54 m long and 11 m wide. Fencing costs ₹11 per metre. What does it cost to fence the park all round (in ₹)?
- 14.A triangle has a base of 13 cm and a height of 20 cm. What is its area (in sq cm)?
- 15.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its perimeter (in cm)?
- 16.A park is 12 m long and 6 m wide. Fencing costs ₹17 per metre. What does it cost to fence the park all round (in ₹)?
- 17.A park is 25 m long and 24 m wide. Fencing costs ₹39 per metre. What does it cost to fence the park all round (in ₹)?
- 18.A park is 46 m long and 42 m wide. Fencing costs ₹28 per metre. What does it cost to fence the park all round (in ₹)?
- 19.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 20.A triangle has a base of 17 cm and a height of 18 cm. What is its area (in sq cm)?
- 21.The perimeter of a square is 104 cm. What is its area (in sq cm)?
- 22.A triangle has a base of 20 cm and a height of 14 cm. What is its area (in sq cm)?
- 23.A park is 52 m long and 38 m wide. Fencing costs ₹12 per metre. What does it cost to fence the park all round (in ₹)?
- 24.A garden is 15 m long and 14 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 25.A rectangle has an area of 48 sq cm and a length of 12 cm. What is its perimeter (in cm)?
- 26.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 27.The perimeter of a square is 32 cm. What is its area (in sq cm)?
- 28.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 29.A park is 56 m long and 37 m wide. Fencing costs ₹29 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.The perimeter of a square is 72 cm. What is its area (in sq cm)?
- 32.A triangle has a base of 8 cm and a height of 24 cm. What is its area (in sq cm)?
- 33.A rectangular field is 15 m long and 11 m wide. What is its area (in sq m)?
- 34.A triangle has a base of 5 cm and a height of 24 cm. What is its area (in sq cm)?
- 35.A triangle has a base of 30 cm and a height of 9 cm. What is its area (in sq cm)?
- 36.The perimeter of a square is 76 cm. What is its area (in sq cm)?
- 37.A garden is 38 m long and 20 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 38.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its perimeter (in cm)?
- 39.A rectangle has an area of 1080 sq cm and a length of 36 cm. What is its perimeter (in cm)?
- 40.A triangle has a base of 26 cm and a height of 13 cm. What is its area (in sq cm)?
Answer key
- 88
- 2464
- 220
- 44
- 1702
- 49
- 120
- 154
- 196
- 1386
- 138
- 378
- 1430
- 130
- 60
- 612
- 3822
- 4928
- 616
- 153
- 676
- 140
- 2160
- 62
- 32
- 44
- 64
- 88
- 5394
- 220
- 324
- 96
- 165
- 60
- 135
- 361
- 120
- 24
- 132
- 169
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