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 21 m long and 13 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 2.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
- 3.A triangle has a base of 19 cm and a height of 20 cm. What is its area (in sq cm)?
- 4.A rectangular field is 35 m long and 24 m wide. What is its area (in sq m)?
- 5.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its perimeter (in cm)?
- 6.A triangle has a base of 14 cm and a height of 22 cm. What is its area (in sq cm)?
- 7.A garden is 21 m long and 15 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 8.A park is 16 m long and 7 m wide. Fencing costs ₹30 per metre. What does it cost to fence the park all round (in ₹)?
- 9.The perimeter of a square is 44 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 28 m long and 18 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 12.A garden is 11 m long and 7 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 13.A rectangular field is 21 m long and 11 m wide. What is its area (in sq m)?
- 14.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 15.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
- 16.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 17.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 18.A rectangle has an area of 230 sq cm and a length of 23 cm. What is its perimeter (in cm)?
- 19.A park is 10 m long and 8 m wide. Fencing costs ₹13 per metre. What does it cost to fence the park all round (in ₹)?
- 20.A triangle has a base of 4 cm and a height of 12 cm. What is its area (in sq cm)?
- 21.A rectangular field is 8 m long and 6 m wide. What is its area (in sq m)?
- 22.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 23.A triangle has a base of 5 cm and a height of 14 cm. What is its area (in sq cm)?
- 24.A garden is 24 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)?
- 25.A park is 39 m long and 11 m wide. Fencing costs ₹19 per metre. What does it cost to fence the park all round (in ₹)?
- 26.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 27.The perimeter of a square is 96 cm. What is its area (in sq cm)?
- 28.A park is 32 m long and 15 m wide. Fencing costs ₹20 per metre. What does it cost to fence the park all round (in ₹)?
- 29.A rectangle has an area of 510 sq cm and a length of 34 cm. What is its perimeter (in cm)?
- 30.A park is 50 m long and 6 m wide. Fencing costs ₹20 per metre. What does it cost to fence the park all round (in ₹)?
- 31.A rectangular field is 18 m long and 7 m wide. What is its area (in sq m)?
- 32.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its perimeter (in cm)?
- 33.A round wheel has a radius of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 34.A rectangular field is 22 m long and 3 m wide. What is its area (in sq m)?
- 35.A rectangular field is 23 m long and 20 m wide. What is its area (in sq m)?
- 36.A park is 14 m long and 7 m wide. Fencing costs ₹14 per metre. What does it cost to fence the park all round (in ₹)?
- 37.The perimeter of a square is 64 cm. What is its area (in sq cm)?
- 38.A rectangle has an area of 513 sq cm and a length of 27 cm. What is its perimeter (in cm)?
- 39.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its perimeter (in cm)?
- 40.A rectangular field is 20 m long and 13 m wide. What is its area (in sq m)?
Answer key
- 152
- 220
- 190
- 840
- 30
- 154
- 252
- 1380
- 121
- 1386
- 200
- 40
- 231
- 616
- 220
- 44
- 132
- 66
- 468
- 24
- 48
- 88
- 35
- 144
- 1900
- 2464
- 576
- 1880
- 98
- 2240
- 126
- 50
- 176
- 66
- 460
- 588
- 256
- 92
- 58
- 260
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