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 59 m long and 7 m wide. Fencing costs ₹20 per metre. What does it cost to fence the park all round (in ₹)?
- 2.A rectangular field is 40 m long and 4 m wide. What is its area (in sq m)?
- 3.A garden is 20 m long and 10 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 4.A rectangle has an area of 242 sq cm and a length of 22 cm. What is its perimeter (in cm)?
- 5.The perimeter of a square is 68 cm. What is its area (in sq cm)?
- 6.The perimeter of a square is 12 cm. What is its area (in sq cm)?
- 7.A park is 55 m long and 12 m wide. Fencing costs ₹11 per metre. What does it cost to fence the park all round (in ₹)?
- 8.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 9.A garden is 12 m long and 11 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 10.A rectangular field is 26 m long and 22 m wide. What is its area (in sq m)?
- 11.A park is 54 m long and 39 m wide. Fencing costs ₹12 per metre. What does it cost to fence the park all round (in ₹)?
- 12.A garden is 10 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)?
- 13.A park is 50 m long and 15 m wide. Fencing costs ₹39 per metre. What does it cost to fence the park all round (in ₹)?
- 14.A park is 13 m long and 8 m wide. Fencing costs ₹10 per metre. What does it cost to fence the park all round (in ₹)?
- 15.A rectangle has an area of 27 sq cm and a length of 9 cm. What is its perimeter (in cm)?
- 16.A garden is 16 m long and 9 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 17.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 18.A rectangular field is 35 m long and 17 m wide. What is its area (in sq m)?
- 19.A rectangular field is 39 m long and 13 m wide. What is its area (in sq m)?
- 20.The perimeter of a square is 80 cm. What is its area (in sq cm)?
- 21.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
- 22.The perimeter of a square is 108 cm. What is its area (in sq cm)?
- 23.A garden is 25 m long and 22 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 24.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
- 25.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
- 26.A rectangular field is 10 m long and 3 m wide. What is its area (in sq m)?
- 27.A rectangular field is 8 m long and 5 m wide. What is its area (in sq m)?
- 28.A park is 28 m long and 22 m wide. Fencing costs ₹12 per metre. What does it cost to fence the park all round (in ₹)?
- 29.A rectangular field is 38 m long and 11 m wide. What is its area (in sq m)?
- 30.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its perimeter (in cm)?
- 31.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its perimeter (in cm)?
- 32.A rectangle has an area of 840 sq cm and a length of 35 cm. What is its perimeter (in cm)?
- 33.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 34.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
- 35.A park is 29 m long and 23 m wide. Fencing costs ₹19 per metre. What does it cost to fence the park all round (in ₹)?
- 36.A triangle has a base of 24 cm and a height of 7 cm. What is its area (in sq cm)?
- 37.A rectangle has an area of 1023 sq cm and a length of 33 cm. What is its perimeter (in cm)?
- 38.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 39.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 40.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
Answer key
- 2640
- 160
- 216
- 66
- 289
- 9
- 1474
- 616
- 174
- 572
- 2232
- 40
- 5070
- 420
- 24
- 116
- 154
- 595
- 507
- 400
- 132
- 729
- 98
- 220
- 264
- 30
- 40
- 1200
- 418
- 28
- 42
- 118
- 264
- 176
- 1976
- 84
- 128
- 44
- 1386
- 2464
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